Math homework.(:

## Write the following problem in standard form: y- 10 = 2(x-8) What is the x intercept? What is the y intercept?

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# 2 Answers

The Standard Form for a linear equation in two variables, x and y, is Ax + By = C .

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y - 10 = 2(x - 8)

y - 10 = 2x - 16

-2x + y = -16 + 10

-2x + y = -6 , let's multiply equation by (-1)

**2x - y = 6** - **s****tandard form of given equation.**

coordinate of * x-intercept is* (x , 0) ----> 2x - 0 = 6 ---> x = 3

**(3 , 0)**

coordinate of

*(0 , y) ----> 2*0 - y = 6 ----> y= -6*

**y-intercept is****(0 , -6)**

Standart form

y- 10 = 2(x-8)

y-10+10=2x-16+10

y=2x-6

* an x-intercept is a point on the graph where y is zero

if we take y=0

y=2x-6

2x-6=0

2x-6+6=0+6

2x=6

2x/2=6/2

x=3

*a y-intercept is a point on the graph where x is zero

y=2x-6

y=2*0-6

y=-6