Question

What is the slope-intercept equation of this line?

Answer 1

y=-2x+8 (A)

Explanation:

Slope Formula: Y=mx+b

y2-y1/x2-x1

x1,y1=(0,8)

x2,y2=(6,-4)

-4-8/6-0

m= -2

Point 1: (0,8)

b=8

Answer 2

A. y=-2x + 8

Explanation:

The slope-intercept formula is written as y=mx+b, where m is the slope and b is the y-intercept.

b can be easily found on the graph, as the point (0,8) is where the line crosses the y-axis, so b=8.

The slope can be found using the slope formula:

`(y2-y1)/(x2-x1)`

We can take either points as the first, and we'll reach this result.

`(-4-8)/(6-0) = (-12)/(6) = (-2)/(1)`

This means that the slope is -2 and the y-intercept is 8

So the final equation is choice (a.)