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Ronch [10]
3 years ago
6

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

Mathematics
1 answer:
blagie [28]3 years ago
7 0

Answer:

The x-intercept of the line is the point (12,0)

Step-by-step explanation:

step 1

Find the slope of the lime

Take the points

(22,36) and (32,72)

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

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

substitute the values

m=\frac{72-36}{32-22}

m=\frac{36}{10}

m=3.6

step 2

Find the equation of the line in point slope form

y-y1=m(x-x1)

we have

m=3.6

point (22,36)

substitute

y-36=3.6(x-22)

step 3

Find the x-intercept

we know that

The x-intercept of a line is the value of x when the value of y is equal to zero

so

For y=0

substitute in the equation and solve for x

0-36=3.6(x-22)

0-36=3.6x-79.2

3.6x=79.2-36

3.6x=43.2

x=12

therefore

The x-intercept of the line is the point (12,0)

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