I have tried to work this several ways and can not get the answer of 5

find x if the slope of a line passing through points A(4,3) and B(x,7)equals 4

For line between the points (x2,y2) and (x,y1), the slope is

m = (y2-y1)/(x2-x1) = (7-3)/(x-4) = 4

Therefore 4x - 16 = 7 - 3 = 4
4x = 20

x = 5 is the correct answer

Yes!

-7n+4(-6+3n)

To find the value of x, we can use the slope formula:

slope = (y2 - y1) / (x2 - x1)

We are given that the slope is 4, and the two points on the line are A(4, 3) and B(x, 7). Substituting these values into the slope formula, we get:

4 = (7 - 3) / (x - 4)

Simplifying:

4 = 4 / (x - 4)

Now, cross multiply:

4(x - 4) = 4

Distribute the 4 on the left side:

4x - 16 = 4

Add 16 to both sides:

4x = 20

Divide both sides by 4:

x = 5

Therefore, the value of x that satisfies the equation is 5.