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salantis [7]
3 years ago
11

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

Mathematics
1 answer:
atroni [7]3 years ago
3 0

Answer:

a

Step-by-step 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 = - \frac{1}{5}, thus

y = - \frac{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 = - \frac{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

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