Answer:
The equation would be y = 5x - 15
Step-by-step explanation:
To find the equation to this line, we first have to note that parallel lines have the same slope. Since the original line has a slope of 5, we know that the new line will also have that slope. Then we can use the slope and the point in point-slope form and solve for y.
y - y1 = m(x - x1)
y - 5 = 5(x - 4)
y - 5 = 5x - 20
y = 5x - 15
Your equation is already in the slope-intercept form [tex] y = mx+q [/tex].
So, the slope of your line is 5.
Parallel lines have the same slope, so our unknown line has slope 5 as well.
Now use the slope-point formula to find the equation of the unknown line:
[tex]y-5 = 5(x-4) \iff y-5 = 5x-20 \iff y = 5x-15 [/tex]
