What is an equation of the line that passes through the point (4,-6) and has a slope of -3

The equation of the line is

y = - 3x + 6

Step-by-step explanation:

The equation of a straight line can be represented in the slope-intercept form, y = mx + c

Where c = intercept

Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis

The line passes through (4,-6) and the slope is -3

To determine the intercept, we would substitute x = 4, y = - 6 and m = - 3 into y = mx + c. It becomes

- 6 = - 3 × 4 + c

- 6 = - 12 + c

c = - 6 + 12

c = 6

The equation becomes

y = - 3x + 6

step-by-step explanation: