What is the answer? Please explain

Mathematics

1 answer:

sammy [17]3 years ago

7 0

Answer:

y = 7x - 48

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 )

Calculate m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (6, - 6) and (x₂, y₂ ) = (8, 8)

m = $\frac{8+6}{8-6}$ = $\frac{14}{2}$ = 7, thus

y = 7x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (8, 8), then

8 = 56 + c ⇒ c = 8 - 56 = - 48

y = 7x - 48 ← equation of line

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