Question

Find the equation of a line with slope of 4 that contains the point (3,5)

Answer 1

y=4x-7

the slope is m=4 and the line contains the point (3,5)

so to find the equation of the line you will use the formula y-yo=m×(x-xo) where

xo = 3 and yo = 5 (the coordinates of the point given)

y-yo = m×(x-xo)

y-5 = 4×(x-3)

y-5=4x-12

y=4x-7

Answer 2

y = 4x - 7

Explanation:

The general equation for a line is:

y=mx+b where m is the slope and b is the y intercept.

The problem gives us the slope = 4. So plug that in for m.

y = 4x + b

So now we have to find the intercept. To do that, plug in the point given by the problem for x and y.

y = 4x + b

5 = 4(3) + b

5 = 12 + b

5-12 = b

-7 = b

So the intercept is -7.

Substitute that for b in our general equation.

y = 4x - b

You can double check that the equation works by checking it with the point that the problem gave us:

y = 4(3) - 7

y = 12-7 = 5, which is exactly the y coordinate of the point in the problem.