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3 years ago

For each line, state its slope and its y-intercept. 6y-2x=15

1 answer:

8 0

Again same here, isolate the y variable to get it in y=mx+b form

6y=2x+15 divide by 6 to isolate the y and your equation is...

y=1/3x+15/6. Or 15/6 can be simplified to 5/2.

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A line passes through the two points (-4,6) and (2,-5). Calculate the following parts:

Viktor [21]

A line passes through the two points (-4,6) and (2,-5). 11x +6y - 80 = 0 is the given line equation.

<h3>What is the slope of a line which passes through points ( p,q) and (x,y)?</h3>

Its slope would be:

$m = \dfrac{y-q}{x-p}$

The slope of parallel lines are same. Slopes of perpendicular lines are negative reciprocal of each other.

The slope m of the line is given as

$m = \dfrac{y-q}{x-p}\\\\ m = \dfrac{-5-6}{2+4}\\\\ m = \dfrac{-11}{6}$

The equation of a line is

$( y -y_0) = m (x - x_0)\\\\( y -6) = \dfrac{-11}{6} (x+4)\\\\6( y -6) = (-11) (x+4)\\\\6y -36 = (-11x +44)\\\\11x +6y - 80 = 0$

Hence, the equation is 11x +6y - 80 = 0

Learn more about slopes here:

brainly.com/question/2503591

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Bezzdna [24]

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Point Form:

( 1 , − 2 )

Equation Form:

x = 1 , y = − 2

Step-by-step explanation:

Graph.

y = 3 x − 1

y = x + 1

y = − x − 1

y = x + 1

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