Question 68693
Here is the Slope - Intercept Form of the Equation that will help you find the slope and y-intercept of the equation.
y = mx + b, m = slope, b = y-intercept
3. y = 2/3x 
y = 2/3x + 0 {{{highlight (m=2/3)}}} {{{highlight (b = 0)}}}

<br>6. Is the equation encoded right 3x - 24 + 6 = 0?
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Write an equation in slope-intercept form for the line that satisfies each set of conditions. 

<br>Slope - Intercept Form of the Equation
y = mx + b, m = slope, b = y-intercept
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12. slope 3, passes through (1,3)
Substitute slope = 3, the points (1,3), x=1, y=3 to Slope - Intercept Form of the Equation to find y-intercept
y = mx + b
3 = 3(1) + b
3-3=b
0=b
<br>Now, you have slope=3 and y-intercept=0
y=mx+b
y = 3x + 0 or y = 3x
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15. slope 3, passes through (2,0) 
Substitute slope = 3, the points (2,0), x=2, y=0 to Slope - Intercept Form of the Equation to find y-intercept
y = mx + b
0 = 3(2) + b
0 = 6 + 0
-6 = b
<br>Now, you have slope=3 and y-intercept=-6
y = mx + b
y = 3x + (-6)
y = 3x - 6