Question

Write an equation in slope-intercept form that represents the data.

Answer 1

1) y = 5x + 100

2) y = -10x + 375

Explanation:

The slope intercept form of an equation is expressed as y = mx+c

m is the slope

c is the intercept

1) Using the coordinate points (0,100) and (1, 105)

slope m = 105-100/1-0

m = 5/1

m = 5

Substitute m = 5 and (0,100) into the formula y = mx+c

100 = 5(0)+c

100 = 0 + c

c = 100

The required equation is y = 5x + 100

2) Using the coordinate points (0,375) and (5 325)

slope m = 325-375/5-0

m = -50/5

m = -10

Substitute m = -10 and (0,375) into the formula y = mx+c

375 = -10(0)+c

375 = 0 + c

c = 375

The required equation is y = -10x + 375