Question

write the slope intercept form of the equation of the line that goes through the point (5,-6) and has a slope of 2

Answer 1

Answer:

y = 2x - 16

Step-by-step explanation:

Slope-intercept form: y = mx + b

Given:

Slope(m): 2

Point: (5, -6)

To write the equation in slope-intercept form we need to find the slope(m) and the y-intercept(b).

Since we were given the value of the slope, the only thing we have to do is find the y-intercept. To do this, input the values of the slope and the given point into the equation and solve for b:

y = mx + b

-6 = 2(5) + b

-6 = 10 + b

-16 = b

The y-intercept is -16.

Now that we know the slope and the y-intercept, we can write the equation:

y = 2x - 16