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If a line has the equation 3x - 4y + 12 = 0, what is its y-intercept?
If a line has the equation 3x - 4y + 12 = 0, what is its y-intercept?
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Q1
If a line has the equation 3x - 4y + 12 = 0, what is its y-intercept?
3
4
-3
-4
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To find the y-intercept, set x = 0. The equation becomes -4y + 12 = 0, leading to y = 3.
Questions & Step-by-step Solutions
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Q
Q: If a line has the equation 3x - 4y + 12 = 0, what is its y-intercept?
Solution:
To find the y-intercept, set x = 0. The equation becomes -4y + 12 = 0, leading to y = 3.
Steps: 6
Show Steps
Step 1: Start with the equation of the line: 3x - 4y + 12 = 0.
Step 2: To find the y-intercept, set x = 0 in the equation.
Step 3: Substitute x = 0 into the equation: 3(0) - 4y + 12 = 0.
Step 4: Simplify the equation: -4y + 12 = 0.
Step 5: To isolate y, subtract 12 from both sides: -4y = -12.
Step 6: Divide both sides by -4 to solve for y: y = 3.
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