Identify the 𝒚– intercept & slope of . Then graph the equation.
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2. Graphs
Lines
Multiple Choice
Find the slope & y−intercept of the line given by the equation 3x+2y−6=0
A
m=2,b=−3
B
m=−23,b=3
C
m=3,b=−23
D
m=32,b=2
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Verified step by step guidance1
Start with the given equation of the line: 3x + 2y - 6 = 0.
Rearrange the equation into the slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.
To do this, solve for y: First, isolate the term with y by subtracting 3x from both sides, resulting in 2y = -3x + 6.
Next, divide every term by 2 to solve for y: y = -\(\frac{3}{2}\)x + 3.
Now, identify the slope (m) and y-intercept (b) from the equation y = -\(\frac{3}{2}\)x + 3. The slope m is -\(\frac{3}{2}\) and the y-intercept b is 3.
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