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

x y
22 36
27 54
32 72

what is the x intercept of the line?

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

substitute the values

step 2

Find the equation of the line in point slope form

we have

substitute

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

therefore

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

3/4 ÷ 3/4

step-by-step explanation:

basically divide any proper fraction with itself to fit the criteria.

so if we are using 3/4, then:

3/4 ÷ 3/4 = 1

so 1 is the quotient.

and the numerators for both these fractions is 3.   and if we divide the numerators:

3 ÷ 3 = 1

we see that quotient is equal to our original quotient as well.

the first one is x^2+2x+2

the second one is x^2+4

the last one is x^2-4x+8