what is an equation that passes through (-1,-7) and has a slope of 2

Answer 1

Aubrie,

Using the slope-intercept form of a line:

y=mx+b

We can substitute m (the given slope) with 2

y=2x+b

And substitute x and y with the x and y coordinates of the point given, in this case (-1,-7) means

x= -1 and y= -7

y=2x+b

(-7)=2*(-1)+ b

Now we solve for b (the intercept):

-7= -2+b

-5=b

Now that we know m (given in the original problem) and b (which we just found) this gives us enough information to complete the equation of a line in slope-intercept form:

y=mx+b

y= 2x-5

Hopefully, that helps!

:-)