Question
A line passes through the points
and has a
-intercept 10 .
Which line has a rate of change that is less than this line’s rate of change?
(A)
(B)
©
(D)
Which line has a rate of change that is less than this line’s rate of change?
(A)
(B)
©
(D)
Ask by Wade Bernard. in the United States
Mar 12,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The line with a slope of
has a rate of change less than the given line’s rate of change. So, the answer is (D)
.
Solution

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Extra Insights
To find the rate of change (slope) of the line passing through the point
with a
-intercept of 10, we can use the slope formula
.
Using the points
and
(the
-intercept),
Now, we need to compare this slope to the slopes of the given options:
(A)
has a slope of
.
(B)
has a slope of
.
©
has a slope of
.
(D)
has a slope of
.
The line with a slope less than
is
. Thus the answer is:
(D)