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Kelvin Reeves
Mathematics
21 July, 22:49
Find the intercepts.
. (-1,5) and (-3,-5)
+5
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Duncan
21 July, 23:17
0
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+10=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 y-intercept is (0, 10) 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 x-intercept is (-2, 0).
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