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Marrrta [24]
2 years ago
5

write the slope - intercept equation of the line that passes through the point (6, "-1)" and has a slope of "-1/3"

Mathematics
1 answer:
TEA [102]2 years ago
8 0

Answer:

y = - \frac{1}{3} x + 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - \frac{1}{3} , then

y = - \frac{1}{3} x + c ← is the partial equation

To find c substitute (6, - 1 ) into the partial equation

- 1 = - 2 + c ⇒ c = - 1 + 2 = 1

y = - \frac{1}{3} x + 1 ← equation of line

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A line includes the points (4,1) and (8, 2). What is its equation in slope-intercept form?
Alisiya [41]

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Step-by-step explanation:

1) First, find the slope of the equation. Use the slope formula m= \frac{y_2-y_1}{x_2-x_1}. Substitute the x and y values of the given points into the formula and solve:

m = \frac{(2)-(1)}{(8)-(4)} \\m = \frac{2-1}{8-4}\\m = \frac{1}{4}

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2 years ago
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