Question

Write the equation of the line that passes through the point P (5, 4) and is parallel to y = 4a + 1

Answer 1

y=4x-16

Explanation:

We want to find the equation of the line in the form y=mx+c, where m is the slope and c is the y-intercept.

If the lines are parallel, their slopes will be the same. The slope of y=4x+1 is 4.

Our equation is now y=4x+c. Sub in point P to get c:

4=4(5)+c

4=20+c

c=-16

Therefore our equation is y=4x-16