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).