# math

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write an equation for the line in point slope form...when it passes through (9,1) and the x intercept is 5 and then slope intercept form...im so confused

• math -

You have two points identified; (5,0) and (9,1).
The slope of the line passing through these two points is m = (y1-y2)/(x1-x2) or m = (1-0)/(9-4) = 1/4.

Knowing the coordinates of point 1, (9,11), from y = mx + b, 1 = 9/4 + b making b = -5/4.

The line is therefore defined by y = x/4 - 5/4.

Checking:
for x = 5, y = 5/4 - 5/4 = 0.
for x = 9, y = 9/4 - 5/4 = 4/4 = 1.

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