Find Slope of line through the points 5 3 0 11 use the point

Find Slope of line through the points (5, 3) (0, 11) use the point-Slope formula to write the equation of the line, through the points (5, 3) (10, 7) Write final answer in slope-intercept form.

Solution

1)

( 5,3) and (10,7)

slope of line is given by the formula

m = y2 - y1 / x2 - x1

m = ( 7 - 3) / ( 10 - 5 )

m = 4 / 5

hence, slope = 4/5

point slope formula is

y-y1 = m (x-x1 )

plugging the value of slope and a point in this formula

y - 3 =4/5 ( x- 5 )

y - 3 = 4/5 x - 4

y = 4/5 x - 4 + 3

equation is

y = 4/5 x - 1