Answer: The equation of the line is
y = - 3x + 6
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