Question

2. Which equation in standard form has a graph that passes through the point (-5,8) and has a

slope of _1/5?
a. x + 5y =35
b. x+5y=7
c. x + 5y = -35
d. x+5y=-7​

Answer 1

a

Explanation:

The equation of a line in slope- intercept form is

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

Here m = -
`(1)/(5)`, thus

y = -
`(1)/(5)` x + c ← is the partial equation

To find c substitute (- 5, 8) into the partial equation

8 = 1 + c ⇒ c = 8 - 1 = 7

y = -
`(1)/(5)` x + 7 ← in slope- intercept form

Multiply through by 5

5y = - x + 35 ( add x to both sides )

x + 5y = 35 ← in standard form → a