Question

directions: find the x-intercept and y-intercept of each equation algebraically.

1. $y = -2x + 6$

x-int:
y-int:

1. $y = x - 7$

x-int:
y-int:

1. $y = \frac{3}{2}x - 9$

x-int:
y-int:

1. $y = -\frac{1}{4}x + 1$

x-int:
y-int:

1. $-x + y = -5$

x-int:
y-int:

1. $x + 2y = -14$

x-int:
y-int:
directions: graph each equation by finding its x-intercept and y-intercept.

1. $3x - y = -3$
2. $5x + 3y = 15$

© gina wilson (all things algebra® llc), 2012

Explanation:

1. $y=-2x+6$

Step1: Find x-int, set $y=0$

$0=-2x+6$
$2x=6$
$x=3$

Step2: Find y-int, set $x=0$

$y=-2(0)+6=6$

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2. $y=x-7$

Step1: Find x-int, set $y=0$

$0=x-7$
$x=7$

Step2: Find y-int, set $x=0$

$y=0-7=-7$

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3. $y=\frac{3}{2}x-9$

Step1: Find x-int, set $y=0$

$0=\frac{3}{2}x-9$
$\frac{3}{2}x=9$
$x=9\times\frac{2}{3}=6$

Step2: Find y-int, set $x=0$

$y=\frac{3}{2}(0)-9=-9$

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4. $y=-\frac{1}{4}x+1$

Step1: Find x-int, set $y=0$

$0=-\frac{1}{4}x+1$
$\frac{1}{4}x=1$
$x=4$

Step2: Find y-int, set $x=0$

$y=-\frac{1}{4}(0)+1=1$

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5. $-x+y=-5$

Step1: Find x-int, set $y=0$

$-x+0=-5$
$x=5$

Step2: Find y-int, set $x=0$

$0+y=-5$
$y=-5$

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6. $x+2y=-14$

Step1: Find x-int, set $y=0$

$x+2(0)=-14$
$x=-14$

Step2: Find y-int, set $x=0$

$0+2y=-14$
$y=-7$

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7. $3x-y=-3$

Step1: Find x-int, set $y=0$

$3x-0=-3$
$x=-1$

Step2: Find y-int, set $x=0$

$3(0)-y=-3$
$y=3$
(To graph: plot points $(-1,0)$ and $(0,3)$, draw a line through them)

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8. $5x+3y=15$

Step1: Find x-int, set $y=0$

$5x+3(0)=15$
$x=3$

Step2: Find y-int, set $x=0$

$5(0)+3y=15$
$y=5$
(To graph: plot points $(3,0)$ and $(0,5)$, draw a line through them)

Answer:

1. x-int: $3$, y-int: $6$
2. x-int: $7$, y-int: $-7$
3. x-int: $6$, y-int: $-9$
4. x-int: $4$, y-int: $1$
5. x-int: $5$, y-int: $-5$
6. x-int: $-14$, y-int: $-7$
7. x-int: $-1$, y-int: $3$ (graph using points $(-1,0)$ and $(0,3)$)
8. x-int: $3$, y-int: $5$ (graph using points $(3,0)$ and $(0,5)$)