Question

Write an equation of the line that passes through the point (-6,-5) with slope 6

Answer 1

y=6x-31

Explanation:

We know that the line passes through the point (-6,-5) so we can substitute the x and y coordinates into the equation of a line y=mx+b, where y and x are the respective coordinates, m is slope, and b is the y-intercept. We can also plug in 6 to the equation for slope.

y=mx+b

-5=(6)(-6)+b

Solve for b, the y-intercept

b=-36+5=-31

Therefore, the equation of the line is: y=6x-31

Answer 2

y + 5 = 6(x + 6)

Explanation:

Apply the point-slope formula y - k = m(x - h):

y + 5 = 6(x + 6)