Write an equation, in slope-intercept form, for the line that passes through the point (4, -5) and is parallel to the line y=3x+2

Answer 1

Hi Landon,

Parallel lines have the same slope, so the slope of the line we're looking for is 3. Now, slope-intercept form is:

y=mx + b where:

y=y-coordinate

m=slope

x=x-coordinate

b=y-intercept

Now, let's identify these for our problem. You were given the point (4,-5), so those are your x and y coordinates. We already identified the slope, so:

y= -5

m=3

x=4

b=b

We need to find b, which we can, since we have everything else:

y=mx + b

Substituting:

-5=3(4) + b

Multiplying:

-5= 12 + b

Subtract 12 on both sides:

b= -17

So, your final equation is:

y=3x - 17

I hope this helps.