3 years ago

1. A line passes through (9, -9) and (10,-5).

Mathematics

1 answer:

jenyasd209 [6]3 years ago

5 0

Answer:

1. y+5=4x-40

2.y=4x-45

Step-by-step explanation:

To get the slope of a line you do y₂-y₁/x₂-x₁ so we plug in the values -9+5/9-10 and we get -4

Point-slope form states y-y₁=m(x-x₁) where m is the slope so plug in the values we get y+5=4(x-10) and you get y+5=4x-40 then turn this equation into y=mx+b and get y= 4x-45

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Answer:

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Step-by-step explanation:

We are given that two lines

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Let $3x_1-7x_2=5$ (equation 1)

$x_1-5x_2=1$ (Equation 2)

Multiply equation 2 by 3 then subtract from equation 1

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Substitute $x_2=\frac{1}{4}$ in the equation 1

Then, we get

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$3x_1-\frac{7}{4}=5$

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$x_1=\frac{27}{4\times 3}=\frac{9}{4}$

Hence, the intersection point of two given lines is ( $\frac{9}{4},\frac{1}{4})$

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