Find the equation of the line that passes through A and B

First we need to find the slope. This is (7 - 3) / (4 - 2) = 2. Since we know the slope, we can use point-slope form. I'm using the point (2, 3).

y - 3 = 2(x - 2)

y - 3 = 2x - 4

y = 2x - 1

Equation of a line is y = mx + c

where m is the slope

c is the y intercept

To find the equation that passes through the points we must first find the slope of the points

A(4,7) and B (2,3)

Slope = 3 - 7 / 2 - 4 = -4/-2 = 2

Equation of the line that passes through points A(4,7) and B (2,3) is

Using point B ( 2 ,3)

y - 3 = 2( x - 2)

y = 2x - 4 + 3

y = 2x - 1

Hope this helps you