Question

Write an equation of a line that passes through the points (1, 7) and (5, 19) . Give the final form in slope intercept form. (Please no fake answers or Links)

Answer 1

y = 3x + 4

Explanation:

slope = (y2 -y1)/(x2 - x1)

y2 = 19

y1 = 7

x2 = 5

x1 = 1

Slope = (19 - 7)/(5 - 1)

slope = 12 / 4

slope = 3

So far what you have is

y = 3x + b To solve for b, use either of the two points.

x = 1

y = 7

7 = 3(1) + b

7 = 3 + b

b = 4

The final equation is

y = 3x + 4

We should check that with the other point

x = 5 Find y

y = 3(5) + 4

y = 15 + 4

y = 19 Ans it checks.