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hichkok12 [17]
3 years ago
14

what is the slope- intercept form of the equation of the line that passes through the points (-3,2) and(1,5)

Mathematics
1 answer:
erma4kov [3.2K]3 years ago
6 0

Answer:

y = \frac{3}{4} x + \frac{17}{4}

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 )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (- 3, 2) and (x₂, y₂ ) = (1, 5)

m = \frac{5-2}{1+3} = \frac{3}{4}, hence

y = \frac{3}{4} x + c ← is the partial equation

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

using (1, 5 ), then

5 = \frac{3}{4} + c ⇒ c = 5 - \frac{3}{4} = \frac{17}{4}

y = \frac{3}{4} x + \frac{17}{4} ← in slope-intercept form


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