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2 years ago

The points (10, -10) and (8, -10) fall on a particular line. What is its equation in slope-intercept form?

1 answer:

7 0

y = 0x - 10 is the equation in slope-intercept form given that the points (10, -10) and (8, -10) which fall on a particular line. This can be obtained by the formula of the slope-intercept form of the line.

<h3>What is its equation in slope-intercept form?</h3>

Linear equation is an equation that models a linear function.

In linear equation the variables are raised to the first power.

Example, Linear equation: 2x + 3, Not a linear equation: x² + 5

The graph of a linear equation contains all the ordered pair that are solutions of the equation.

The equation of a line is given by,

y = mx + c, m is the slope of the equation, c is the y intercept

m = $\frac{y_{2} -y_{1} }{x_{2} -x_{1} }$ , y intercept is the y coordinate of the point where y crosses the y axis.

Here in the question it is given that,

The points (10, -10) and (8, -10) fall on a particular line.

We have to find the equation in slope-intercept form.

Slope of the equation will be,

m = $\frac{y_{2} -y_{1} }{x_{2} -x_{1} }$ ⇒ m = $\frac{-10 -(-10) }{8 -10 }$ ⇒ m = 0

y-intercept of the equation will be,

y = mx + c ⇒ -10 = 0 + c ⇒ c = -10

The equation of the line in slope-intercept form will be,

y = 0x -10

Hence y = 0x - 10 is the equation in slope-intercept form given that the points (10, -10) and (8, -10) which fall on a particular line.

Learn more about slope-intercept form here:

brainly.com/question/9682526

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3 years ago

An 16 16-oz jar of peanut butter in the shape of a right circular cylinder is 7 7 in. high and 5 5 in. in diameter and sells fo

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Step-by-step explanation:

The formula for determining the volume of a cylinder is expressed as

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r represents the radius of the cylinder.

h represents the height of the cylinder.

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Considering the 16 oz jar,

h = 7 inches

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Radius = diameter/2 = 5/2

r = 2.5 inches

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Considering the 29 oz jar,

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Radius = diameter/2 = 5.25/2

r = 2.625 inches

Volume = 3.14 × 2.625² × 7.5 = 162.27 inches³

1) If the cost is directly proportional to volume, then

If 137.375 inches³ cost $1.6

then 162.27 inches³ should cost

(162.27 × 1.6)/137.375 = $1.89

The price of the larger jar would be $1.89

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3 years ago

Find the ratio in which the line joining the points (2, 4, 16) and (3, 5, -4) is divided by the plane 2x – 3y+ z+ 6 = 0. Also fi

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Answer:

Step-by-step explanation:

let the plane intersects the join of points in the ratio k:1

let (x,y,z) be the point of intersection.

$x=\frac{3k+2}{k+1} \\y=\frac{5k+4}{k+1} \\z=\frac{-4k+16}{k+1} \\\because ~(x,y,z)~lies~on~the~plane.\\2(\frac{3k+2}{k+1} )-3(\frac{5k+4}{k+1} )+\frac{-4k+16}{k+1} +6=0\\multiply~by~k+1\\2(3k+2)-3(5k+4)+(-4k+16)+6(k+1)=0\\6k+4-15k-12-4k+16+6k+6=0\\-7k+14=0\\k=2\\x=\frac{3*2+2}{2+1} =\frac{8}{3} \\y=\frac{5*2+4}{2+1}= \frac{14}{3} \\z=\frac{-4*2+16}{2+1} =\frac{8}{3}$