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

Answer:

$\large\boxed{y-0=\dfrac{2}{3}(x-0)\to y=\dfrac{2}{3}x}$

Step-by-step 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:

$m=\dfrac{2}{3}$

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:

$y-0=\dfrac{2}{3}(x-0)\to y=\dfrac{2}{3}x$