What is the equation of the line that passes through the point (-8,-6)(−8,−6) and has a slope of 1/4

y = x/4 - 4

Step-by-step explanation:

The equation of a straight line can be represented in the slope intercept form as

y = mx + c

Where

m = slope = (change in the value of y in the y axis) / (change in the value of x in the x axis)

The slope of the given line is 1/4

To determine the intercept, we would substitute m = 1/4, x = - 8 and y = - 6 into y = mx + c. It becomes

- 6 = 1/4 × - 8 + c

- 6 = - 2 + c

c = - 6 + 2 = - 4

The equation becomes

y = x/4 - 4