Answer:
y= 5x -9
Explanation:
Slope-intercept form:
y= mx +c, where m is the gradient and c is the y-intercept.
y= 5x -15
Gradient of given line= 5
Since parallel lines have the same gradient, gradient of the line is 5. Thus, m=5.
Substitute m=5 into the equation:
y= 5x +c
To find the value of c, substitute a pair of coordinates.
When x =1, y= -4,
-4= 5(1) +c
-4= 5 +c
c= -4 -5
c= -9
Thus, the equation of the line is y= 5x -9.