What is the Y intercept of the line with a slope of -7 that passes through the point (-1, -5)

Answer 1

Y = mx + b where m is slope and b is the y- intercept. You are looking for b, the y-intercept. "Slope is -7" means that m can be replaced with -7.

So y = -7x + b. If we knew what x and y are, we could find b, (-1,-5) means that if x=-1, then y=-5. Filling them in, you get -5= -7(-1)+b

-5 = 7 + b. So subtract 7 from both sides to find b, the desired y intercept

Answer 2

The equation of a line is y=mx+b, where m is slope and b is the y-intercept. Remember that coordinates are (x,y). Therefore, m=-7, x=-1, and y=-5. Now, just plug and chug 😁.

-5=(-7)(-1)+b

-5=7+b

-7 -7

-12=b

So, the y-intercept is -12.

To double check yourself, remember that the y-intercept is where the line crosses the y-axis and that x will equal 0. So, let's plug the coordinates (0, -12) in the equation and see if it works! Remember that the slope is -7.

-12=(-7)(0)+(-12)

-12=0-12

-12=-12 ✔️

It checks out!