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Find the equation of the line. Use exact numbers​

Find The Equation Of The Line Use Exact Numbers class=

Sagot :

Minhobeakidn

Answer:

y = -3x + 7

Step-by-step explanation:

Again, pick a random point. I chose point (0,7). Then, we see how many units it takes to reach the next point. Let's try it. First, we move down 3 units, rise = -3, then move right 1 unit, run 1. So slope is rise over run, so -3/1 = -3. Then, for the y intercept, just see the y value when x = 0.

Answer:

y = - 3x + 7

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 ) = (0, 7) and (x₂, y₂ ) = (2, 1) ← 2 points on the line

m = [tex]\frac{1-7}{2-0}[/tex] = [tex]\frac{-6}{2}[/tex] = - 3

The line crosses the y- axis at (0, 7 ) ⇒ c = 7

y = - 3x + 7 ← equation of line

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