Find the x- and y-intercepts of the graph of the

fertilizeki

fertilizeki

Answered question

2021-12-10

Find the x- and y-intercepts of the graph of the equation y = ∣3x-7∣.

Answer & Explanation

Medicim6

Medicim6

Beginner2021-12-11Added 33 answers

Step 1
Given
y=|3x-7|
Step 2
Substitute 0 for y and solve for x to obtain the x-intercept.
|3x-7|=0
Remove the absolute value term. This creates a ± on the right side of the equation because |x|=± x
3x7=±0
3x-7=0
3x=7
x=73
x-intercept in point form; (73,0)
Substitute 0 for x and solve for y to obtain the y-intercept.
y=|3(0)-7|
=|-7|
=7
y-intercept in point form; (0,7)

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