Graphing using intercepts (including worksheet) - The Prime ... - Free Printable

I'll solve this step by step, finding the x and y intercepts for each equation.

Finding Intercepts:
- x-intercept: Set y = 0 and solve for x (where the line crosses the x-axis)
- y-intercept: Set x = 0 and solve for y (where the line crosses the y-axis)

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Equation 1: y = 2x + 4

*Finding x-intercept:*
Set y = 0:
0 = 2x + 4
Subtract 4 from both sides: -4 = 2x
Divide by 2: x = -2

*Finding y-intercept:*
Set x = 0:
y = 2(0) + 4
y = 4

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Equation 2: y = 5 - x

*Finding x-intercept:*
Set y = 0:
0 = 5 - x
Add x to both sides: x = 5

*Finding y-intercept:*
Set x = 0:
y = 5 - 0
y = 5

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Equation 3: y = 6 - 3x

*Finding x-intercept:*
Set y = 0:
0 = 6 - 3x
Add 3x to both sides: 3x = 6
Divide by 3: x = 2

*Finding y-intercept:*
Set x = 0:
y = 6 - 3(0)
y = 6

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Equation 4: y = 3x + 9

*Finding x-intercept:*
Set y = 0:
0 = 3x + 9
Subtract 9 from both sides: -9 = 3x
Divide by 3: x = -3

*Finding y-intercept:*
Set x = 0:
y = 3(0) + 9
y = 9

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Let me verify my calculations:
- Equation 1: x=-2 ✓, y=4 ✓
- Equation 2: x=5 ✓, y=5 ✓
- Equation 3: x=2 ✓, y=6 ✓
- Equation 4: x=-3 ✓, y=9 ✓

All calculations check out!

Final Answer:
y = 2x + 4: x-intercept: -2, y-intercept: 4

y = 5 - x: x-intercept: 5, y-intercept: 5

y = 6 - 3x: x-intercept: 2, y-intercept: 6

y = 3x + 9: x-intercept: -3, y-intercept: 9