Find the equation of the line. Use exact numbers. y=__x + __
2 answers:
In order to solve, we need to know the formula for slope-intercept: y = mx + b. M stands for the slope, and b stands for the y-intercept, or where the line crosses the y-axis.
Let's solve for the slope first. In order to find the slope, we need to find the rise and run of the line. The line rises 3 units before intersecting with a point, so that is the rise. The line goes across 1 unit, so that is the run of the line. Slope = rise/run. Slope = 3/1 = 3.
Now that we have the slope, we can solve for the y-intercept. We can see clearly that the line passes through 3 on the y-axis, so that is our y-intercept, or b. y = mx + b → y = 3x + 3
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Answer:
decrease by 50%
Step-by-step explanation:
Decreased by 60% = (100%-60%)x = 0.4x.
Decreased by 20% = (100%-20%)x = 0.8x.
initial fraction, and we can see that denominator will increase 2 times, so fraction will decrease 2 times, or decrease by 50%.
Answer:
The simplified form is .
is the excluded value for the given expression.
Step-by-step explanation:
Given:
The expression given is:
Let us simplify the numerator and denominator separately.
The numerator is given as
2 is a common factor in all the three terms. So, we factor it out. This gives,
Now,
Therefore, the numerator becomes
The denominator is given as:
Factoring out 3, we get
Now, is of the form
So,
Therefore, the denominator becomes
Now, the given expression is simplified to:
There is in the numerator and denominator. We can cancel them only if
as for
, the given expression is undefined.
Now, cancelling the like terms considering , we get:
Therefore, the simplified form is
The simplification is true only if . So,
is the excluded value for the given expression.