Question

Find the slope and y-intercept of the line through the pair of points L(-9,6),M(-1,9)

Answer 1

3/8, 9 3/8

Explanation:

y= mx+b

m=(y2-y1)/(x2-x1)

L (-9, 6) and M(-1, 9)

slope is:

• m= (9-6)/(-1+9)= 3/8

y- intercept is:

• 6=3/8*(-9)+b

• b= 6+27/8= (48+27)/8= 75/8= 9 3/8

Answer 2

The slope is 3/8

The y intercept is 75/8

Explanation:

The slope is found by

m= (y2-y1)/(x2-x1)

= (9-6)/(-1- -9)

= (9-6)/(-1+9)

=3/8

The y intercept is found by

y = mx+b where m is the slope and b is the y intercept

y = 3/8 x+b

9 = 3/8(-1) +b

Getting a common denominator

72/8 = -3/8 +b

Add 3/8 to each side

75/8 = b

The y intercept is 75/8