Question

Write an equation in slope -intercept form for a line that passes through (-2,7) and (14,21)

Answer 1

A line passes through point A(14,21). A second point on the line has an x-value that is 125% of the x-value of point A and a y-value that is 75% of the y-value of point A. Use point A to write an equation of the line in point-slope form.

Explanation:

A line passes through point A(14,21). A second point on the line has an x-value that is 125% of the x-value of point A and a y-value that is 75% of the y-value of point A. Use point A to write an equation of the line in point-slope form.

Answer 2

(-2,7) and (14,21)

Find the slope by using the formula
`m = (y2 - y1)/(x2 - x1)`

Plug in the numbers.
`m = (21 - 7)/(14 - - 2) \\ m= (14)/(16) = (7)/(8)`

Write it in point slope form first

y - y1 = m(x - x1)
y - 7 = 7/8(x - -2)
y - 7 = 7/8x + 1.75
+ 7 +7

y = 7/8x + 8.75

Our final equation would be: y = 7/8x + 8.75