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Can someone help me identify the Y and the X intercepts and get the slope

Can someone help me identify the Y and the X intercepts and get the slope-example-1
User Brittni
by
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2 Answers

9 votes
slope is 3/5
slope is determined by y/x
y intercept also 3/5
x intercept -1
User Jeff Brady
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3.2k points
9 votes

Answers:

  • y intercept = 3/5
  • x intercept = -1
  • slope = 3/5

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Step-by-step explanation:

The two points (-1,0) and (4,3) are on the line.

Let's use the slope formula

m = (y2-y1)/(x2-x1)

m = (3-0)/(4-(-1))

m = (3-0)/(4+1)

m = 3/5 is the slope

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The x intercept is -1 because this is where the line crosses the x axis.

The y intercept is a bit more tricky. It appears the graph is crossing at y = 0.5 on the y axis, but this may not be the case.

Let's find out

y = mx+b

0 = (3/5)*(-1)+b

0 = -0.6+b

0.6 = b

b = 0.6

b = 3/5 is the y intercept

Coincidentally, the slope and y intercept are the same value. This won't always happen.

User Astroanu
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3.0k points