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Answer:
The x-intercept of the line is at (3.2,0) The y-intercept of the line is at (0,-32)
Step-by-step explanation:
I graphed the equation on the graph below.
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The x-intercept is (3.2, 0), and the y-intercept is (0, -32) if the equation of the line is y = 10x - 32.
What is a straight line?
A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
It is given that:
y = 10x - 32
As we know, the equation of a slope-intercept of the line is:
y = mx + c
Here, m is the slope of the line
c is the y-intercept
The slope is the ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases.
On comparing:
c = -32
Or Plug x = 0
y = -32
For x-intercept:
Plug y = 0
0 = 10x - 32
10x = 32
x = 32/10
x = 3.2
The x-intercept = (3.2, 0)
The y-intercept = (0, -32)
Thus, the x-intercept is (3.2, 0), and the y-intercept is (0, -32) if the equation of the line is y = 10x - 32.
Learn more about the straight line here:
brainly.com/question/3493733
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