Question

Write the point -slope form of the equation of each line given the slope and y-intercept. Slope=(2/3), y-intercept =0

Answer 1

`\large\boxed{y-0=(2)/(3)(x-0)\to y=(2)/(3)x}`

Explanation:

The point-slope form of ane equation of a line:

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

m - slope

(x₁, y₁) - point on a line

We have:

`m=(2)/(3)`

y-intercept is for x = 0.

Therefore, if y-intercept = 0, then we have the point (0, 0).

`y-intercept=0\to(0,\ 0)`

Substitute:

`y-0=(2)/(3)(x-0)\to y=(2)/(3)x`