Question

Given two points on the line, input the equation of the line in standard form Ax + By = C. Reduce all fractional answers to lowest terms.

(-8, 0), (1, 5)

Answer 1

Slope m of the line = (y2-y1) / (x2-x1) = (5-0) / (1- -8) = 5/9
y = mx + b
y = 5/9x + b
It passes through the point (1,5)
5 = 5/9 * 1 + b
b = 5 - 5/9 = 40/9
y = 5/9x + 40/9
This is the slope-intercept form. Convert it to standard form:
multiply by 9:
9y = 5x + 40
subtract 9y:
0 = 5x - 9y + 40
subtract 40:
-40 = 5x - 9y or
5x - 9y = -40

Answer 2

thanks