Question

Question 12 (Multiple Choice Worth 5 points)

(05.02 MC)
What is the slope-intercept form equation of the line that passes through (5, 7) and (8, 22)?
Oy= -5x + 18
Oy=5x - 18
Oy=-5x - 18
O y = 5x + 18

Answer 1

y = 5x - 18

Explanation:

Points:

Equation of the line:

y = ax + b

(5; 7) and (8; 22)

(5; 7)

7 = 5a + b

(8; 22)

22 = 8a + b

a and b are the same values:

{- 5a - b = - 7

{8a + b = 22

3a = 15

a = 5

5a + b = 7

5.5 + b = 7

25 + b = 7

b = 7 - 25

b = - 18

Equation:

y = 5x - 18

I Hope I've helped you.