Question: If the line 2x + 3y = 12 is transformed to slope-intercept form, what is the slope?
Options:
-2/3
2/3
3/2
-3/2
Correct Answer: -2/3
Solution:
Convert to slope-intercept form (y = mx + b).\\n1. 3y = -2x + 12\\n2. y = -2/3x + 4.\\nThe slope is -2/3.
If the line 2x + 3y = 12 is transformed to slope-intercept form, what is the slo
Practice Questions
Q1
If the line 2x + 3y = 12 is transformed to slope-intercept form, what is the slope?
-2/3
2/3
3/2
-3/2
Questions & Step-by-Step Solutions
If the line 2x + 3y = 12 is transformed to slope-intercept form, what is the slope?
Step 1: Start with the equation 2x + 3y = 12.
Step 2: To isolate y, subtract 2x from both sides: 3y = -2x + 12.
Step 3: Now, divide every term by 3 to solve for y: y = (-2/3)x + 4.
Step 4: The equation is now in slope-intercept form (y = mx + b), where m is the slope.
Step 5: Identify the slope from the equation: the slope is -2/3.
Slope-Intercept Form – The slope-intercept form of a linear equation is given by y = mx + b, where m represents the slope and b represents the y-intercept.
Algebraic Manipulation – The ability to rearrange equations to isolate y and express the equation in the desired form.
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