Translate the following words into an expression:
2 answers:
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Hello!
Slope-intercept form is this one:
where a is the slope and b the intercept.
So, for transforming these equations to Slope-Intercept you'll need to rearrange the equations by adding or subtracting the same amounts on both sides of the equation (as a rule of thumb, sums are transformed into subtractions and multiplications into divisions).
<span>1) 3x + y = 12
You should notice that Y and X are on the same side of the equation, so by subtracting 3x on both sides of the equation you'll cancel X on the left side:
</span>
<span>
To finish, we rearrange this equation to the form y=a*x+b
</span>
<span>
So, the slope is -3 and the intercept is 12
2) 8=y+5x
</span>You should notice that Y and X are on the same side of the equation, so by subtracting 5x on both sides of the equation you'll cancel X on the right side:
To finish, we rearrange this equation to the form y=a*x+b
So, the slope is -5 and the intercept is 8
3) 6x + 3y = -9
You should notice that Y and X are on the same side of the equation, so by subtracting 6x on both sides of the equation you'll cancel X on the left side:
Now, you should notice that y has a number that is multiplying it, so you'll need to divide the entire equation by 3 to cancel this number on the left side.
To finish, we rearrange this equation to the form y=a*x+b
So, the slope is -2 and the intercept is 3
4) x - 5y = 55
You should notice that Y and X are on the same side of the equation, so by subtracting x on both sides of the equation you'll cancel X on the left side:
Now, you should notice that y has a number that is multiplying it, so you'll need to divide the entire equation by -5 to cancel this number on the left side.
To finish, we rearrange this equation to the form y=a*x+b
So, the slope is 1/5 and the intercept is -11
5) -4x-y=-2
You should notice that Y and X are on the same side of the equation, so by adding 4x on both sides of the equation you'll cancel X on the left side:
Now, you should notice that y has a number that is multiplying it, so you'll need to divide the entire equation by -1 to cancel this number on the left side.
To finish, we rearrange this equation to the form y=a*x+b
So, the slope is -4 and the intercept is 2
6) -16 = -4x + 2y
You should notice that Y and X are on the same side of the equation, so by adding 4x on both sides of the equation you'll cancel X on the right side:
Now, you should notice that y has a number that is multiplying it, so you'll need to divide the entire equation by 2 to cancel this number on the right side.
To finish, we rearrange this equation to the form y=a*x+b
So, the slope is 2 and the intercept is -8
I hope that this helps. Have a nice day!
Slope-intercept form is this one:
So, for transforming these equations to Slope-Intercept you'll need to rearrange the equations by adding or subtracting the same amounts on both sides of the equation (as a rule of thumb, sums are transformed into subtractions and multiplications into divisions).
<span>1) 3x + y = 12
You should notice that Y and X are on the same side of the equation, so by subtracting 3x on both sides of the equation you'll cancel X on the left side:
</span>
<span>
To finish, we rearrange this equation to the form y=a*x+b
</span>
<span>
So, the slope is -3 and the intercept is 12
2) 8=y+5x
</span>You should notice that Y and X are on the same side of the equation, so by subtracting 5x on both sides of the equation you'll cancel X on the right side:
To finish, we rearrange this equation to the form y=a*x+b
So, the slope is -5 and the intercept is 8
3) 6x + 3y = -9
You should notice that Y and X are on the same side of the equation, so by subtracting 6x on both sides of the equation you'll cancel X on the left side:
Now, you should notice that y has a number that is multiplying it, so you'll need to divide the entire equation by 3 to cancel this number on the left side.
To finish, we rearrange this equation to the form y=a*x+b
So, the slope is -2 and the intercept is 3
4) x - 5y = 55
You should notice that Y and X are on the same side of the equation, so by subtracting x on both sides of the equation you'll cancel X on the left side:
Now, you should notice that y has a number that is multiplying it, so you'll need to divide the entire equation by -5 to cancel this number on the left side.
To finish, we rearrange this equation to the form y=a*x+b
So, the slope is 1/5 and the intercept is -11
5) -4x-y=-2
You should notice that Y and X are on the same side of the equation, so by adding 4x on both sides of the equation you'll cancel X on the left side:
Now, you should notice that y has a number that is multiplying it, so you'll need to divide the entire equation by -1 to cancel this number on the left side.
To finish, we rearrange this equation to the form y=a*x+b
So, the slope is -4 and the intercept is 2
6) -16 = -4x + 2y
You should notice that Y and X are on the same side of the equation, so by adding 4x on both sides of the equation you'll cancel X on the right side:
Now, you should notice that y has a number that is multiplying it, so you'll need to divide the entire equation by 2 to cancel this number on the right side.
To finish, we rearrange this equation to the form y=a*x+b
So, the slope is 2 and the intercept is -8
I hope that this helps. Have a nice day!