Mathematics: What equation in slope-intercept form represents the line that passes through the points (3,5) and (-9,2)

you know what im not even gonna sayanything .Step-by-step explanation:...

What equation in slope-intercept form represents

chloeholt123

15.01.2022

y = $\frac{1}{4}$ 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 slope formula

m = ( y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (3, 5) and (x₂, y₂ ) = (- 9, 2)

m = $\frac{2-5}{-9-3}$ = $\frac{-3}{-12}$ = $\frac{1}{4}$

y = $\frac{1}{4}$ x + c ← is the partial equation

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

using (3, 5), then

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

y = $\frac{1}{4}$ x + $\frac{17}{4}$ ← in slope- intercept form

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