Question 57049
find the coordinates for the y intercept and the b intercept.
12. 4y - 2 = 6x 
To find the y-intercept, let x=0 and solve for y
4y - 2 = 6x 
4y-2=6(0)
4y-2=0
4y=2
y=1/2
y-intercept (0, 1/2)
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To find the b-intercept (the y-intercept)use the slope-intercept format (y=mx+b)]
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4y-2=6x [solve for y]
4y=6x+2
y=6/4x+2/4
y=3/2x+1/2
The b-intercept (y-intercept)=1/2

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To find the x-intercept, let y=0 and solve for x
4(0)-2=6x
-2=6x
-1/3=x
x-intercept (-1/3, 0)
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for each equation, find the intercepts. then use the intercepts to graph the equation.
19. 2y - 2 = 6x 
x-intercept, let y=0 and solve for y
2y-2=6x
2(0)-2=6x
-2=6x
-2/6=x
-1/3=x (x-intercept is (-1/3, 0) Plot this point on the graph.
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y-intercept: let x=0 and solve for y:
2y-2=6x
2y-2=6(0)
2y-2=0
2y=2
y=2/2
y=1 (y-intercept is (0, 1) Plot this point on the graph.
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{{{ graph( 300, 200, -6, 5, -10, 10, 3x+1) }}} 
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36. y = -4 - 4x 
y=intercept: (0, -4) Plot this point on the graph.
x=intercept: (-1, 0) Plot this point on the graph.
{{{ graph( 300, 200, -6, 5, -10, 10, -4x-4) }}} 

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51. Graph 
3y = -5 [Re-write in the slope-intercept formate (y=mx+b)]
3y=-5
y=-5/3 [The graph will be a straight line that crosses the y-axis at (-5/3)
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{{{ graph( 300, 200, -6, 5, -10, 10, 0x-(5/3)) }}}