Question: If the line 7x + 2y = 14 is transformed to slope-intercept form, what is the slope?
Options:
-7/2
7/2
2/7
-2/7
Correct Answer: -7/2
Solution:
Rearranging to y = -7/2x + 7 shows that the slope is -7/2.
If the line 7x + 2y = 14 is transformed to slope-intercept form, what is the slo
Practice Questions
Q1
If the line 7x + 2y = 14 is transformed to slope-intercept form, what is the slope?
-7/2
7/2
2/7
-2/7
Questions & Step-by-Step Solutions
If the line 7x + 2y = 14 is transformed to slope-intercept form, what is the slope?
Step 1: Start with the equation of the line: 7x + 2y = 14.
Step 2: To get y by itself, first subtract 7x from both sides: 2y = -7x + 14.
Step 3: Now, divide every term by 2 to solve for y: y = (-7/2)x + 14/2.
Step 4: Simplify 14/2 to get 7: y = (-7/2)x + 7.
Step 5: The equation is now in slope-intercept form, which is y = mx + b, where m is the slope.
Step 6: Identify the slope (m) from the equation: the slope is -7/2.
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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