A line passes through the point (10, 9) and has a slope of 5/2.

Write an equation in slope-intercept form for this line.

1 answer

The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

Given the point (10, 9) and a slope of 5/2, we can substitute these values into the equation to solve for b:

9 = (5/2)(10) + b
9 = 25 + b
b = -16

Therefore, the equation of the line passing through the point (10, 9) with a slope of 5/2 is:

y = (5/2)x - 16