Answer:
y = (31/2)x + 300
Explanation:
To rewrite the equation -31x + 2y = 600 in slope-intercept form (y = mx + b), where m represents the slope and b represents the y-intercept, we need to isolate y on one side of the equation.
Step 1: Move the -31x term to the right side of the equation by adding 31x to both sides:
2y = 31x + 600
Step 2: Divide both sides of the equation by 2 to solve for y:
y = (31/2)x + 300
Now the equation is in slope-intercept form, y = (31/2)x + 300. The slope of the line is 31/2, which means for every 1 unit increase in x, y will increase by 31/2 units. The y-intercept is 300, which is the value of y when x = 0.
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