Answer:
Hi! The answer to your question is [tex]y=3x-10[/tex]
Step-by-step explanation:
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Answer:
y = 3x - 10
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 = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (3, - 1) and (x₂, y₂ ) = (5, 5)
m = [tex]\frac{5+1}{5-3}[/tex] = [tex]\frac{6}{2}[/tex] = 3 , then
y = 3x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (5, 5 ) , then
5 = 15 + c ⇒ c = 5 - 15 = - 10
y = 3x - 10 ← equation of line
