y = slope * x + y-intercept

y = (3/2)x + 3

another way to write it is

y = (3x / 2) + 3

why I answered how to do it

with your last question

use the pt slope formula

you have been given one point

that means the other point is

(x,y). consider the point given

(-2,0) to be your start point, and (x,y)

your end point. from the last lesson

y(end)-y(start)=M(x(end)-x(start))

M is slope.

do the substitutions and simplify

to reach the eqn you need.

I believe your next question should

be about finding the end point, so I will tell

you how to do that

M=rise/run

rise=change in height (change in y values)

run=change in distance(change in x values)

M=(y(end)-y(start))/(x(end)-x(start))

for the information you gave in

this problem

M=3/2 and that means

this ratio means y changes by 3

and x changes by 2

as the line goes through space

y(end)-y(start)=y(end)-0=3

thus y(end)=3……(x,3)

x(end)-x(start)=x(end)-(-2)=2

thus, x(end)=0……(0,y)

the point is then

(0,3) the zero in the x position

also tells us that 3 is the y-intercept.

y-intercept is where the line passes through

the y-axis and that only happens when

x=0.