Write an equation to represent the line that goes through the points (2,8) and (4,14)

Answer 1

We need to fill in the equation y=mx+b

The first step here is to find the slope(m), the equation for slope is (y2-y1)/(x2-x1) so:

(14-8)/(4-2)=3, so 3 is your slope aka your m.

Next we need to find the b, aka the y-intercept.

In order to do this, we need to plug in a point and the slope into y=mx+b and solve for b.

Let's use the point(2,8)

8=3(2)+b

8=6+b

8-6=b

2=b

b=2

Now we have to get back to y=mx+b form with all the info we got so,

y=3x+2