write the equation of the line that passes through (1, 5) and (−2, 14) in the slope-intercept form.

a- y = 3x + 2
b- y = 3x + 8
c-y = −3x − 2
d- y = −3x + 8

d

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 ) = (1, 5) and (x₂, y₂ ) = (- 2, 14)

m = = = - 3, thus

y = - 3x + c ← is the partial equation

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

Using (1, 5), then

5 = - 3 + c ⇒ c = 5 + 3 = 8

y = - 3x + 8 → d

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step-by-step explanation: