Question

what is the equation of the line that passes through the point (-3,5) and has a slope of -2

Answer 1

Answer:

y=-2x-1

Step-by-step explanation:

Okay so basically, to start you need to know what the formula of slope is. (y=mx+b) m is the slope and b is the y-intercept. We already know our y, x, and m so we need to find b. So if we plug in all the numbers we know, we get:

5 = -2(-3) + b

We got the x and y from the ordered pair and we already had the slope. So going through with the math:

5 = 6 + b  (Multiplied the -2 and -3)

b + 6 = 5 (Just rearranged the numbers. Same equation but moved the b+6 onto the left of the equal sign.

b  + 6 = 5

     -6    -6

b = -1

So, that means that to fill in the entire equation, that'll be y= -2x - 1.