Question

I need help with my math

Answer 1

Answer:

First choice: y = (-1)x + 2

Explanation:

The equation of a line in slope-intercept form is given by

$y=mx+b$

where m is the slope and b is the y-intercept (we know this from the point (0,2))

Now in our case, the y-intercept is (0, 2) ; therefore, our equation looks like

$y=mx+2$

and now we find the slope.

The slope is defined as the rise/run.

Since rise = 2 and run = -2, we have

$m=\frac{\text{rise}}{\text{run}}=\frac{2}{-2}=1$

with the value of m in hand, we now write the equation of the line

$y=(-1)x+b$

which is our answer!