Write the equation of the line that passes though (-3,5) and (2,10) in slope intercept form

see explanation

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 = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 3, 5) and (x₂, y₂ ) = (2, 10)

m = = , hence

y = x + c ← is the partial equation of the line

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

Using (2, 10), then

10 = + c ⇒ c = 10 - =

y = x + ← in slope- intercept form

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step-by-step explanation: