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natta225 [31]
4 years ago
5

2(x-1)=y+3 y=2x+1 FInd slope, x-intercept, and y-intercept for both equations

Mathematics
1 answer:
marusya05 [52]4 years ago
6 0

The slope-intercept form: y = mx + b

m - slope

b - y-intercept

We have 2(x - 1) = y + 3     <em>use distributive property</em>

(2)(x) + (2)(-1) = y + 3

2x - 2 = y + 3      <em>subtract 3 from both sides</em>

2x - 5 = y → y = 2x - 5

slope: m = 2

y-intercept: b = -5

x-intercept for y = 0. Substitute:

2x - 2 =0       <em>add 2 to both sides</em>

2x = 2        <em>divide both sides by 2</em>

x = 1

<h3>Answer:</h3><h3>slope = 2</h3><h3>y-intercept = -5</h3><h3>x-intercept = 1</h3>

-------------------------------------------------------------

y = 2x + 1

slope: m = 2

y-intercept: b = 1

x-intercept for y = 0. Substitute:

2x + 1 = 0       <em>subtract 1 from both sides</em>

2x = -1       <em>divide both sides by 2</em>

x = -0.5

<h3>Answer:</h3><h3>slope = 2</h3><h3>y-intercept = 1</h3><h3>x-intercept = -0.5</h3>
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