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If the line 3x + 4y = 12 is transformed to slope-intercept form, what is the slo
If the line 3x + 4y = 12 is transformed to slope-intercept form, what is the slope?
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Practice Questions
1 question
Q1
If the line 3x + 4y = 12 is transformed to slope-intercept form, what is the slope?
-3/4
3/4
4/3
-4/3
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Rearranging gives y = -3/4x + 3. The slope is -3/4.
Questions & Step-by-step Solutions
1 item
Q
Q: If the line 3x + 4y = 12 is transformed to slope-intercept form, what is the slope?
Solution:
Rearranging gives y = -3/4x + 3. The slope is -3/4.
Steps: 7
Show Steps
Step 1: Start with the equation of the line: 3x + 4y = 12.
Step 2: To get y by itself, first subtract 3x from both sides: 4y = 12 - 3x.
Step 3: Now, divide every term by 4 to isolate 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 slope from the equation: The slope is -3/4.
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