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ale4655 [162]
4 years ago
10

Find the intercepts. . (-1,5) and (-3,-5)

Mathematics
1 answer:
Firdavs [7]4 years ago
5 0

Answer:

x-intercept: (-2, 0), y-intercept: (0, 10)

Step-by-step explanation:

First, we need to find the equation of this line. The formula to find the slope is:(y1-y2)/(x1-x2). Substituting the real numbers for this formula, (5-(-5))=10, (-1-(-3)=2. 10/2=5.

This means that the slope of this line is 5.

To find the complete equation for this line, we just need to plug in the x-value and add whatever needs to be added to attain the y-value. (You can plug in any x-value/y-value available.)

5=5(-1)+?

-5+<u>10</u>=5.

The complete equation for this line is y=5x+10.

From here, the y-intercept is easy, because the number after the coefficient and variable (5 and x) are before the y-intercept (in standard form). The <em><u>y-intercept is (0, 10)</u></em> because if you plug in 0 for the x-value, you will get 10 as your y-value.

On the other hand, if you plug in 0 for your y-value and solve it out, you will get the x-intercept.

0=5x+10

-10=5x

x=-2

So the <em><u>x-intercept is (-2, 0)</u></em>.

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__

2) Eliminate parentheses:

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_____

<em>Comments on the solutions</em>

The expression we add in each case eliminates the constant on one side of the equation and the variable term on the other side. That leaves an equation of the form ...

  variable term = constant

We choose to eliminate the smaller variable term (the one with the coefficient farthest to the left on the number line). Then the constant we eliminate is the on on the other side of the equation. This choice ensures that the remaining variable term has a positive coefficient, tending to reduce errors.

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You can work these problems by methods that eliminate fractions. Here, the fractions are decimal values, so are not that difficult to deal with. In any event, it is good to be able to work with numbers in any form: fractions, decimals, integers. It can save some steps.

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