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If the line 3x + 4y = 12 is transformed to slope-intercept form, what is the y-i
If the line 3x + 4y = 12 is transformed to slope-intercept form, what is the y-intercept?
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Q1
If the line 3x + 4y = 12 is transformed to slope-intercept form, what is the y-intercept?
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Rearranging gives y = -3/4x + 3. The y-intercept is 3.
Questions & Step-by-step Solutions
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Q
Q: If the line 3x + 4y = 12 is transformed to slope-intercept form, what is the y-intercept?
Solution:
Rearranging gives y = -3/4x + 3. The y-intercept is 3.
Steps: 7
Show Steps
Step 1: Start with the equation of the line: 3x + 4y = 12.
Step 2: To isolate y, first subtract 3x from both sides: 4y = 12 - 3x.
Step 3: Now, divide every term by 4 to solve for y: y = (12 - 3x) / 4.
Step 4: Split the fraction: y = 12/4 - 3x/4.
Step 5: Simplify the fractions: y = 3 - (3/4)x.
Step 6: Rewrite it in slope-intercept form: y = -3/4x + 3.
Step 7: Identify the y-intercept from the equation: The y-intercept is 3.
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