Question

For each of the following, find the equation of the line in slope-intercept form:1) m = 2, point = (0,0)2) m = 3, point = (1,3)

Answer 1

y = 2x is the answer to 1).

y = 3x is the answer to 2).

The slope intercept for of the line for a given point A and m the slope, is:

$\begin{gathered} A(x_a,y_a) \\ y-y_a=m(x-x_a) \end{gathered}$

Then for 1)

m = 2 and A(0, 0)

Next:

$y-0=2(x-0)$

Then solve:

$y=2x$

y = 2x is the answer to 1).

For 2)

m = 3 and A(1, 3)

$y-3=3(x-1)$

And solve for y:

$\begin{gathered} y=3x-3+3 \\ y=3x \end{gathered}$

y = 3x is the answer to 2).