Answer:
Equation of a line is y = mx + c
where
m = gradient
c = y intercept
y = -5x + 3
Comparing this equation with the above formula
m = - 5
Since the lines are parallel their gradients are also the same.
So gradient of the parallel line is also 5
That's m = -5
Equation of the parallel line using point
(3, 1) and gradient m = -5 is
y - 1 = -5(x - 3)
y - 1 = -5x + 15
y = -5x + 15 + 1
Final answer is
y = -5x + 16
Hope this helps.
Answer:
Step-by-step explanation:
line parallel to given line has same slope i.e.,-5
eq. of line through (3,1) with slope -5 is
y-1=-5(x-3)
y-1=-5x+15
y=-5x+15+1
or y=-5x+16
