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2 years ago

Write an equation for the line that passes through the given points (-2,9) And (1 ,-3)

Mathematics

1 answer:

babymother [125]2 years ago

5 0

Answer:

Finding slope: y2-y1/x2-x1

3-9/1+2

=-6/2

Divide 2 from both

=-3/1 or -3

Slope= -3

Finding y-intercept= y=mx+b

Choose any point on the line to plug in the x and the y then plug in the slope.

I choose (1,3)

3=-3×1+b

3=-3+b

Add 3 to both sides

6=b

Y-intercept=6

Equation: y=-3x+6

Step-by-step explanation:

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$x + 3y = 7 , x - 3y = 7 : y = , x = 7$

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$\left[\begin{array}{ccc}x + 3y = 7\\x - 3y = 7\end{array}\right]$

Isolate $x$ for $x + 3y = 7 : x = 7 - 3y$ :

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$\begin{bmatrix}7-3y-3y=7\end{bmatrix}$

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Write an equation for the line that passes through the given points (-2,9) And (1 ,-3)​

Write an equation for the line that passes through the given points (-2,9) And (1 ,-3)