Answer is B. (-3, 1.5)
Solve -2(n + 5) + 6n = 14 for n.
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The equation in slope-intercept form of the line that passes through the point (-1, 2) and is perpendicular to the line equation, is:
<em><u>Recall</u></em>:
Equation of a line in slope-intercept form is: , where, slope = m, and y-intercept = c.
Point-slope form is:
The slope value of a line will be the negative reciprocal of the slope of the line it is perpendicular to. i.e. if the slope of a line is a, the slope of the line that it is perpendicular to will be -a.
<em><u>Given:</u></em>
- The line passes through point (-1, 2)
- Equation of line it is perpendicular to is:
To write the equation of the line that passes through (-1, 2), we need to find the slope value.
- First, rewrite
and find its slope.
- The slope (m) of
- Thus, the slope (m) of the line that passes through (-1, 2) will be the negative reciprocal of 1 = -1.
- Write the equation of the line by substituting (a, b) = (-1, 2) and m = -1 into
:
- <em><u>Thus</u></em>:
- Rewrite this in the form of
- <em><u>Thus</u></em>:
Therefore, the equation in slope-intercept form of the line that passes through the point (-1, 2) and is perpendicular to the line equation, is
Learn more here:
First let's try to find the equation in this form : <span>y = mx + c
The gradient is given 3 . In a line's equation, x's coefficient represents the line's gradient.
So equation of a line with the gradient of 3, would look like this ;
</span>
<span>
Now a point that the line passes through is given, (1, 2)
This point's x-coordinate is 1 and y-coordinate is 2.
So we'll plug its x-coordinate value in the equation and also y-coordinate value. So we can solve it.
As you know, </span>
and 
We found c = -1
Also in a line's equation, c is constant and it represents the line's y-intercept
So let's build the line's equation.
and 
We found the line's equation in this form,
Now let's turn it into this form,
Final answers,
and
I hope this was clear enough :)
<span>
</span>
The gradient is given 3 . In a line's equation, x's coefficient represents the line's gradient.
So equation of a line with the gradient of 3, would look like this ;
</span>
<span>
Now a point that the line passes through is given, (1, 2)
This point's x-coordinate is 1 and y-coordinate is 2.
So we'll plug its x-coordinate value in the equation and also y-coordinate value. So we can solve it.
As you know, </span>
We found c = -1
Also in a line's equation, c is constant and it represents the line's y-intercept
So let's build the line's equation.
We found the line's equation in this form,
Now let's turn it into this form,
Final answers,
and
I hope this was clear enough :)
<span>
</span>