Question: If the equation 2x + 3y = 6 is transformed into slope-intercept form, what is the slope of the line?
Options:
-2
2
-3/2
3/2
Correct Answer: -3/2
Solution:
Rearranging the equation to y = -2/3x + 2 shows that the slope is -2/3.
If the equation 2x + 3y = 6 is transformed into slope-intercept form, what is th
Practice Questions
Q1
If the equation 2x + 3y = 6 is transformed into slope-intercept form, what is the slope of the line?
-2
2
-3/2
3/2
Questions & Step-by-Step Solutions
If the equation 2x + 3y = 6 is transformed into slope-intercept form, what is the slope of the line?
Step 1: Start with the original equation: 2x + 3y = 6.
Step 2: Isolate the term with y by subtracting 2x from both sides: 3y = 6 - 2x.
Step 3: Simplify the right side: 3y = -2x + 6.
Step 4: Divide every term by 3 to solve for y: y = (-2/3)x + 2.
Step 5: Identify the slope from the equation in slope-intercept form (y = mx + b), where m is the slope: 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.
Rearranging Equations – Transforming equations into different forms, such as moving all terms involving y to one side, is essential for identifying slopes and intercepts.
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