Find an equation of the line with the given slope that passe

Find an equation of the line with the given slope that passes through the given point. Write the equation in the form Ax + By = C m = 3, (8,8) The equation of the line in the form Ax + By = C is. (Simplify your answer. Use integers or fractions for any numbers in the equation.)

Solution

Equation of a line is Y = mX + K where m is the slope and K is constant

Here m = 3

The Equation of line is Y = 3X + K

Since the line passes through the point (8,8), substituting X= 8 and Y= 8 in the equation

8 = 3*8 + K

8 = 24 + K

24 + K = 8

K = 8 - 24

K = -16

The Equation of the line is Y = 3X + K

Y = 3X - 16

3X - Y = 16

3X + (-1)Y = 16

This is in the form AX + BY = C where A = 3, B = -1, C = 16