Question

A line with a slope of 2 passes through (3,9). Which choice is an equation of this line?

1. y - 3 = 2 (x - 9)
2. y + 9 = 2x + 3
3. y - 9 = 2 (x - 3)
4. y - 9 = 2x - 3

Answer 1

The answer to your question is number 3.

Explanation:

Data

slope = m = 2

Point = (3, 9)

Process

1.- Write the equation of the line in the form point-slope

y - y1 = m(x - x1)

2.- Identify the values of x1 and y1

x1 = 3 y1 = 9

3.- Substitution

y - 9 = 2(x - 3)

4.- Simplify

y - 9 = 2x - 6

y = 2x - 6 + 9

5.- Result

y = 2x + 3 slope y-intercept form