Answer:y = - 7x - 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
change in the value of y = y2 - y1
Change in value of x = x2 -x1
The slope is given as - 7 and the line passes through (0, - 6)
To determine the intercept, we would substitute x = 0, y = - 6 and m= - 7 into y = mx + c. It becomes
- 6 = 0 × -6 + c
c = - 6
The equation becomes
y = - 7x - 6