Question

Solve slope and y-intercept.

Answer 1

Slope: -2/1

Y-intercept: (0,0)

Explanation:

The equation for slope is:

`Slope = (y_2-y_1)/(x_2-x_1)`

We can plug in any x, y pairs from the table into the equation. For this, let's use (-5, 10) and (-3, 6)

`Slope = (6-10)/(-3-(-5))=(-4)/(-3+5)=(-4)/(2)=(-2)/(1)`

The equation for a line is...

y=mx+b

m: slope

b: y-intercept

We can plug in a x, y pair and the slope into the equation to solve for the y-intercept:

y=mx+b

10=(-2)(-5)+b

10=10+b

b=0

Therefore the y-intercept is (0,0)