Given that (3,4) and (-1,-4) are point on the same line, use the point (-1,-4) to find a point slope form of equation

Mathematics

1 answer:

faust18 [17]3 years ago

6 0

Answer:

y + 4 = 2(x+1)

Step-by-step explanation:

Begin by calculating the slope m using the slope formula. Then substitute m and (-1,-4) into the point slope form. The point slope form of the line is $y - y_1 = m(x-x_1)$ .

Slope Formula:

$m = \frac{y_2-y_1}{x_2-x_1} = \frac{4--4}{3--1}= \frac{8}{4} = 2$

Substitute m = 2 and (-1,-4).

$y - y_1 = m(x-x_1)\\y --4 = 2(x--1)\\y + 4 = 2(x+1)$

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