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1. Graph the line represented by the equation y = -3 + 2x
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1. Graph the line represented by the equation
y = -3 + 2x
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Mathematics
4 years
2021-08-15T23:55:42+00:00
2021-08-15T23:55:42+00:00 1 Answers
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Answer:
Below
Step-by-step explanation:
So i can’t attach a pic but i’ll explain how to find everything you need to graph this.
Find x intercept (the point on the horizontal line):
Sub y for 0 : 0 = -3 + 2x
move variables : -2x = -3
divide by -2 : x = 3/2
So the x intercept is 3/2 or to make it easier, 1.5
Find y intercept (the point on the vertical line)
Sub x for 0 : y = -3 + 2(0)
solve for y : y = -3
So the y intercept is -3
Now to find the slope (rise/run)
In this case, you first need to reorder the terms:
y = 2x – 3
transform : y = 2x + (-3)
Identify slope : m = 2
So the slope is 2
Here is how to graph this equation
Start from your y intercept which is -3 and count 2 spaces up, and then once space to the right. Keep doing that and it will give you all the points you need to draw your graph!
Hope this helps 🙂