Question

What is the slope-intercept form equation of the line that passes through (2, 4) and (4, 10)?

Answer 1

The answer is: y = 3x - 2

Explanation:

Use the slope equation to find the slope:

m = (y - y1) / (x - x1)

m = (4 - 10) / (2 - 4)

m = -6 / -2 = 3

Now use the point slope form of the equation with one point, will use (2, 4)

y - y1 = m(x - x1)

y - 4 = 3(x - 2)

y - 4 = 3x - 6

y = 3x - 2

Proof:

f(4) = 3(4) - 2

= 12 - 2 = 10, giving (4, 10)