Question

write an equation in standard form with integer coefficients for the line with slope 13/2 going through the point (-3,-4).

Answer 1

Start with point-slope form of a line

y - y1 = m (x - x1)

Answer 2

can you go step by step?

Answer 3

y - y1 = (13/2) (x - x1)

y - (-4) = (13/2) ( x - (-3))

Answer 4

y + 4 = (13/2) ( x + 3)

Answer 5

?

Answer 6

Multiply through by 2

2(y + 4) = 2 [(13/2) ( x + 3)]

2(y + 4) = (13) ( x + 3)

Answer 7

2y + 8 = 13x + 39

2y - 13x = 39 -8

2y - 13x = 31

Answer 8

In standard form,

-13x + 2y = 31

The Standard Form for a linear equation in two variables, x and y, is usually given as
Ax + By = C

Answer 9

Question?