Question

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

Answer 1

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

Find the slope by using the formula $m = \frac{y2 - y1}{x2 - x1}$

Plug in the numbers. $m = \frac{21 - 7}{14 - - 2} \\ m= \frac{14}{16} = \frac{7}{8}$

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

Answer 2

Answer:

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.

Step-by-step 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.