Question

Write the slope-intercept form of the equation of the line (1,-4) with a slope of -2

Answer 1

y = -2x - 2

Explanation:

When given a point and a slope, we use slope-intercept formula:

y - y1 = m (x - x1)

m = slope point: (1,-4)

y - y1 = m (x - x1)

y - (-4) = -2 (x - 1)

y + 4 = -2x + 2

- 4 - 4

y = -2x - 2

To check our answer, I attached the graph.

Answer 2

B

Explanation:

General equation

y = mx + b

m = the slope

b = the y intercept

Slope

y = -2x + b

y intercept

use the point to get the y intercept.

x = 1

y = - 4

Subsitute these values into the incomplete equation under slope

-4 = -2(1) + b

-4 = - 2 + b Add 2 to both sides

-4+2 = b

b = - 2

Answer

y = -2x - 2