Question

Write the slope-intercept form of the equation of the line through the given point with the given slope.

Answer 1

The parallel lines have the same slope.

Calculate the slope:

`m=(\Delta y)/(\Delta x)`

Look at the picture. Substitute:

`m=(-2)/(-1)=2`

We have the point (0, -1).

The point-slope formula:

`y-y_1=m(x-x_1)`

Substitute:

`y-(-1)=2(x-0)\\\\y+1=2(x-0)`