Question

A line passes through the point (-1, -9) and has a slope of -7.
What would be the equation for this line?

Answer 1

Answer:

y = -7x - 16

Step-by-step explanation:

The formula for the equation of a line is y=mx+b, where m is the slope and b is the y-intercept. Since we already know the slope, all that is left is the value of b, which can be found by substituting the values of the point (-1, -9) into the equation and solving:

$-9=-7(-1)+b$

$-9=7+b$

$b=-9-7=-16$

With this, we get the value -16, making the equation y = -7x - 16