Question

Write equation in standard form has a graph that passes through the points (-4, 2 )and has a slope of 9/2

Answer 1

9x - 2y = - 40

Explanation:

the equation of a line in standard form is

Ax + By = C ( A is a positive integer and B, C are integers )

The first step is obtain the equation in slope- intercept form

y = mx + c ( m is the slope and c the y- intercept )

given slope m =
`(9)/(2)` , then

y =
`(9)/(2)` x + c ← is the partial equation

to find c, substitute the point (- 4, 2 ) for x and by 2 to clear the fraction

y into the partial equation

2 =
`(9)/(2)` (- 4) + c = - 18 + c ( add 18 to both sides )

20 = c

y =
`(9)/(2)` x + 20 ← equation in slope- intercept form

multiply through by 2 to clear the fraction

2y = 9x + 40 ( subtract 9x from both sides )

- 9x + 2y = 40 ( multiply through by - 1 )

9x - 2y = - 40 ← equation in standard form