Question

write the equation of the line (in slope-intercept form) that passes through the points (2,3 and (5,7)

Answer 1

The answer to your question is y = 4/3x + 1/3

Explanation:

Data

Point A = (2, 3)

Point B = (5, 7)

Process

1.- Calculate the slope

x1 = 2 y1 = 3

x2 = 5 y2 = 7

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

- Substitution

m = (7 - 3)/(5 - 2)

- Slope

m = 4/3

2.- Find the equation of the line

y - y1 = m(x - x1)

y - 3 = 4/3(x - 2)

y - 3 = 4/3x - 8/3

y = 4/3x - 8/3 + 3

y = 4/3x - 8/3 + 9/3

y = 4/3x + 1/3