Write the equation of the line, in slope intercept form, that passes through the point (9,-5) and has a slope of -2

y = - 2x + 13

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 2, thus

y = - 2x + c ← is the partial equation of the line

To find c substitute (9, - 5) into the partial equation

- 5 = - 18 + c ⇒ c = - 5 + 18 = 13

y = - 2x + 13 ← equation in slope- intercept form

Step-by-step explanation:

1. Given

2. Corresponding angles are congruent.

3. Triangle JKL is similar to triangle JMN

3. AA similarity.

4. Corresponding sides of similar triangles are in proportion.

5. segment addition postulate

6. Substitute 5 into 4.