Question

Give the slope and y-intercept for the line that passes through the pairs of points listed below.

a. (7,7) and (10,10)
b. (0,7) and (7,0)
c. (−5,8) and (8,11)
d. (−3,−2) and (11,9)

a. Find the slope and the y-intercept for the line that passes through (7,7) and (10,10).
The slope is _____
The y-intercept is _____
(Type integers or simplified fractions.)

Answer 1

Explanation:

a. Find the slope and the y-intercept for the line that passes through (7,7) and (10,10).

The slope is (10-7)/(10-7) = 1

The y-intercept is 0

b. Find the slope and the y-intercept for the line that passes through (0,7) and (7,0).

The slope is (0-7)/(7-0) = -1

The y-intercept is 7

c. Find the slope and the y-intercept for the line that passes through (-5,8) and (8,11).

The slope is (8-11)/(-5-8) = 3/13

y = mx + b

11 = (3/13)(8) + b

143/13 - 24/13 = b

b = 119/13

The y-intercept is 119/13

d. Find the slope and the y-intercept for the line that passes through (-3,-2) and (11,9).

The slope is (-2-9)/(-3-11) = 11/14

y = mx + b

9 = (11/14)(11) + b

126/14 - 121/14 = b

b = 5/14

The y-intercept is 5/14