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Sagot :
Answer:
y = x + 1
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 ) = (4, 5 ) and (x₂, y₂ ) = (- 3, - 2 )
m = [tex]\frac{-2-5}{-3-4}[/tex] = [tex]\frac{-7}{-7}[/tex] = 1 , then
y = x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (4, 5 ) , then
5 = 4 + c ⇒ c = 5 - 4 = 1
y = x + 1 ← equation of line
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