Write an equation, in slope-intercept form through the point (2, 4) and with a slope of 5

Answer 1

So let's start with the equation for slope-intercept form:

y=mx+b

y is the y-coordinate

m is the slope

x is the x-coordinate

b is the y-intercept

The question gives you the x-coordinate, the y-coordinate and the slope. We now have to find b or the y-intercept.

So let's plug in our values:

y=mx+b

4=5(2)+b

Find the value of b, then write as part of slope-intercept form.

*Remember, if b is negative, change the + to a -.

Answer 2

I'd start with point-slope form.

y-4 = 5*(x-2)

Distribute.

y-4 = 5x-10

Add 4 to both sides.

y = 5x-6

Check your work.

5(2)-6 = 4... check!