Determine an equation of a line in point-slope form given the slope and a point on the line that is not the y-intercept

Question

Which equation represents the line with a slope of 4 that passes through the point (– 5, – 3)?

 

[A] y + 3 = 4(x -5)

[B] y - 3 = 4(x -5)

[C] y - 3 = 4(x +5)

[D] y + 3 = 4(x + 5)

 

And Why.. Thanks

Answer 1

Point Slope form is (y-y₁) = m(x-x₁),

where (x₁,y₁) is the coordinate, and

m is the slope value.  So:

 

(y-(-3)) = 4(x-(-5)).  Simplifying the negative signs yields:

y+3 = 4(x+5).

 

So the answer is D.

Answer 2

Slope intercept for is y - y1=m(x-X1)

y1 is the y cordinate from the point, m is the slope and X11 is the x coordinate from the point.  So answer is y + 3=4(x+5)

 

remember - a negative number becomes +