Answer:
y= 5x +9
Step-by-step explanation:
<u>Slope- intercept form:</u>
y= mx+c, where m is the gradient and c is the y-intercept.
Parallel lines have the same gradient. Since the gradient of the given line is 5, the gradient of the unknown line is also 5. Hence, m=5.
y= 5x+c
To find the value of c, substitute a coordinate.
When y= -6, x= -3,
-6= 5(-3) +c
-6= -15 +c
c= 15 -6 (+15 on both sides)
c= 9 (simplify)
Thus, the equation of the line is y=5x+9.
