Question

A line has a slope of -2 and passes through the

point (-2,-3) . Write its equation in slope-
intercept form.
Write your answer using integers, proper
fractions, and improper fractions in simplest
form.

Answer 1

To write the equation of the line in slope-intercept form, we use the formula:

y = mx + b

where m is the slope and b is the y-intercept.

Given that the slope is -2 and the line passes through the point (-2, -3), we can substitute these values into the equation:

-3 = -2(-2) + b

Simplifying:

-3 = 4 + b

Now, solve for b:

b = -3 - 4

b = -7

Therefore, the equation of the line in slope-intercept form is:

y = -2x - 7