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Ierofanga [76]
3 years ago
10

This table gives a few (x,y) pairs of a line on the coordinate plane

Mathematics
2 answers:
grigory [225]3 years ago
8 0

Answer:

(22, 0)

Step-by-step explanation:  

Pani-rosa [81]3 years ago
7 0

Answer:

The x-intercept is the point (22,0)

Step-by-step explanation:

step 1

Find the slope

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

take the points

(-38,40) and (-23,30)

substitute the given values

m=\frac{30-40}{-23+38}

m=\frac{-10}{15}

m=-\frac{2}{3}

step 2

Find the equation of the line in point slope form

y-y1=m(x-x1)

we have

m=-\frac{2}{3}

point\ (-8,20)

substitute

y-20=-\frac{2}{3}(x+8)

step 3

Find the x-intercept

Remember that the x-intercept is the value of x when the value of y is equal to zero

so

For y=0

0-20=-\frac{2}{3}(x+8)

solve for x

-20=-\frac{2}{3}x-\frac{16}{3}

Multiply by 3 both sides

-60=-2x-16

2x=60-16\\2x=44\\x=22

therefore

The x-intercept is the point (22,0)

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Point D also lies outside Circle O.

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