Equation help

Question

a line passes through the point (-5, -6) and has a slope of 2. write an equation for this line

Answer 1

I would first use point-slope form:

 

y - y0 = m(x - x0)

 

(x0, y0) is the coordinates of a point on the line, while m is the slope of the line. x and y are the line's variables.

 

The point is (-5, -6), and the line's slope is 2, so:

 

y - (-6) = 2(x - (-5))

y + 6 = 2(x + 5)

 

To put the line's equation in standard form, isolate the y on one side of the equation:

 

y + 6 = 2x + 10

[y = 2x + 4]

 

To check your answer, try substituting the x and y coordinates of the point for the x and y in the line's equation:

 

y = 2x + 4

-6 = 2(-5) + 4

-6 = -10 + 4

-6 = -6 [it works]