Question

Write the standard form of the equation of each line given the slope and

y-intercept.
9) Slope = 3, y-intercept = -9
10) Slope = -7, y-intercept = 10

Answer 1

The standard form of a line's equation is given by Ax + By = C, where A, B, and C are constants and A and B are not both zero. To convert from slope-intercept form (y = mx + b) to standard form, we can manipulate the equation as follows:

y = 3x - 9
3x - y = 9
3x - 9 = y
Ax + By = C
3x + (-1)y = 9, so A = 3, B = -1, and C = 9.

y = -7x + 10
7x + y = -10
7x - 10 = -y
Ax + By = C
7x + (-1)y = -10, so A = 7, B = -1, and C = -10