Question: If the line 5x + 12y = 60 is transformed to slope-intercept form, what is the slope?
Options:
-5/12
5/12
12/5
-12/5
Correct Answer: -5/12
Solution:
Rearranging gives y = -5/12 x + 5, so the slope is -5/12.
If the line 5x + 12y = 60 is transformed to slope-intercept form, what is the sl
Practice Questions
Q1
If the line 5x + 12y = 60 is transformed to slope-intercept form, what is the slope?
-5/12
5/12
12/5
-12/5
Questions & Step-by-Step Solutions
If the line 5x + 12y = 60 is transformed to slope-intercept form, what is the slope?
Step 1: Start with the equation of the line: 5x + 12y = 60.
Step 2: To get y by itself, first subtract 5x from both sides: 12y = -5x + 60.
Step 3: Now, divide every term by 12 to solve for y: y = (-5/12)x + 60/12.
Step 4: Simplify 60/12 to get 5: y = (-5/12)x + 5.
Step 5: The equation is now in slope-intercept form (y = mx + b), where m is the slope.
Step 6: Identify the slope from the equation: the slope is -5/12.
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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