Question

Write the equation of a line that passes through the point (-2, 1) and has a slope of 4. A. y = 4x − 7 B. y = 4x + 1 C. y = 4x + 3 D. y = 4x + 9

Answer 1

Answer: D. y = 4x + 9

Explanation:

Substitute the values of y and x from the given coordinate into the slope-intercept form using the given slope. Then solve for b

y = mx + b Given: Slope = 4 Coordinate (-2, 1)

1 = 4(-2) + b

1 = -8 + b add +8 to both sides, "cancels" -8 on right

1+ 8 = b

9 = b Rewrite equation using original slope and calculated b

y = 4x + 9