Answer:
y= -4x +9
Step-by-step explanation:
Slope- intercept form: y= mx +c, where m is the gradient and c is the y- intercept.
y= -4x +2 is written in the slope- intercept form, thus the gradient of the line is -4.
Since parallel lines have the same gradient, the gradient of the unknown line is -4.
Substitute m= -4 into the equation:
y= -4x +c
To find the value of c, substitute a pair of coordinates.
When x= 1, y= 5,
5= -4(1) +c
5= -4 +c
c= 5 +4
c= 9
∴ The equation of the line is y= -4x +9.
