Writing equations of lines

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If you run 7 miles in one hour and 21 miles in three hours, what is the rate of change for the equation?

Write the slope intercept form of the equation of the line with the same slope as 2x - 5y = 12 and the same y-intercept as 4y + 24 = 5x.

Write the equation of a line in point-slope form for the line through (4, -6) with a slope of 3/5 .

A pool is being drained and the independent variable is time. If it starts with 1400 gallons of water and at 10 hours has 400 gallons left and at 14 hours has 0 gallons left in the pool, what is the y-intercept of the equation?

Write the equation of a line through (2, -1) and (8, 4) in standard form.

Find the equation of the line in point-slope form for the line through (10, -9) with a slope of -2.

Write an equation of a line with m = 1 and b = 4.

Write the equation of the line through (1, -5) and (-3, 7) in slope-intercept form.