Question: If the line 3x + 4y = 12 is transformed to slope-intercept form, what is the slope?
Options:
-3/4
3/4
4/3
-4/3
Correct Answer: -3/4
Solution:
Rearranging gives y = -3/4x + 3. The slope is -3/4.
If the line 3x + 4y = 12 is transformed to slope-intercept form, what is the slo
Practice Questions
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
Questions & Step-by-Step Solutions
If the line 3x + 4y = 12 is transformed to slope-intercept form, what is the slope?
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.
Slope-Intercept Form – The slope-intercept form of a line is given by the equation y = mx + b, where m represents the slope and b represents the y-intercept.
Rearranging Equations – Transforming equations from standard form to slope-intercept form requires isolating y on one side of the equation.
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