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aleksandr82 [10.1K]

3 years ago

5

Write an equation of the line satisfying the given conditions. write the answer in slope intercept from. the line passes through

(7,5) and (5,13).
A) y=-4x-33
B) y=-4x+23
C) y=4x+23
D) y=-4x+33

1 answer:

antiseptic1488 [7]3 years ago

4 0

We just need to find the option that has those points.

The answer is

D) y=-4x+33

(7,5)
y=-4(7)+33 = 5

(5,13)
y=-4(5)+33 = 13

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Find the equation of the line specified. The line passes through the points ( -2, 3) and ( -4, 7)

cestrela7 [59]

Answer:

$y=-2x-1$

Step-by-step explanation:

Let the first coordinate point be (x_1,y_1) and the second coordinate point be (x_2,y_2)

So

x_1 = -2

y_1 = 3

x_2 = -4

y_2 = 7

Now we can use the formula for equation of line to figure it our.

Equation of line formula is $y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

Plugging in the known values and arranging in slope-intercept form, we have:

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\y-3=\frac{7-3}{-4-(-2)}(x-(-2))\\y-3=\frac{4}{-2}(x+2)\\y-3=-2(x+2)\\y-3=-2x-4\\y=-2x-4+3\\y=-2x-1$

This is the equation of the line passing through the points ( -2, 3) and ( -4, 7)

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3 years ago