i find the gradient of the line AB passing through A52 and B

(i) find the gradient of the line AB passing through A(5,2) and B(3,7)

(ii) what is the equation of the line parallel to AB and passing through (4,0)?

please show all steps/working, thanks

A (5,2) B ( 3,7)

gradient = slope of line

applying slope formula = y2-y1 / x2 - x1

plugging the values

gradient = (7-2) / (3-5) = 5 / -2 = -5/2

2) equation of line parallel to AB

slope of parallel lines are identical

standard eqaution of line is y = mx+ b

where m is the slope

plugging the values in standard equation

0 = 4( -5/2) + b

b = 10

hence, equation is

y = -5/2 x + 10