Question

What is the equation of the line that passes through the point (-2,-1) and has a slope of 3/2?

Answer 1

Answer:

y = 3/2x + 2

Step-by-step explanation:

Consider the formula for slope intercept form.

y = mx + b

m = slope

b = y -intercept

Since you already have the slope you can substitute 3/2 for m.

y = 3/2x+b

You were given a point (-2, -1). Substitute the x and y values for the variables in the slope equation.

-2 = x

-1 = y

-1 = 3/2(-2) + b

Now solve for b

- 1 = -3 + b

2 = b    

substitute the value for b into your slope equation:

y = 3/2x + 2

Answer 2

Y= 3/2x + 2
If you do rise/run from (-2,-1) the y-intercept will be 2