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alisha [4.7K]
3 years ago
11

Change 5x - y = 3 into slope-intercept form. © by – 5x+3

Mathematics
1 answer:
agasfer [191]3 years ago
7 0

The slope intercept form is y=5x-3

Explanation:

The equation is $5 x-y=3$

Now, we shall bring the equation $5 x-y=3$ in the slope intercept form.

The general form of the slope intercept is given by

y=mx+c

Hence, we need to rewrite the given equation in this form.

Thus, we have,

$5 x-y=3$

Subtracting both sides of the equation by 5x, we get,

-y=-5x+3

Multiplying both sides of the equation by (-), we get,

y=5x-3

Thus, the slope intercept form of the given equation is y=5x-3

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Answer:

z = 3

Step-by-step explanation:

Since the points are collinear then the slopes between the points are equal.

Calculate the slope m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = P (2, - 3) and (x₂, y₂ ) = Q (3, - 2)

m = \frac{-2+3}{3-2} = 1

Repeat with

(x₁, y₁ ) = Q (3, - 2) and (x₂, y₂ ) = R (8, z )

m = \frac{z+2}{8-3} = \frac{z+2}{5} , then

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z + 2 = 5 ( subtract 2 from both sides )

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