Respuesta :

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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Ver imagen 22stolc

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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