Question

PLEASE PLEASE HELP ME!! I AM IN TESPARATE NEED OF HELP!!! PLEASE I AM BEGGING AT THIS POINT!!
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Answer 1

a) 13/10

b)
`y+15=(13)/(10)(x-5)`

c)
`y+2=(13)/(10)(x-15)`

d) Both equations are
`y=(13)/(10)x-(43)/(2)` so represent the same line

e)
`-(43)/(2)` °F ⇒ y-intercept

Explanation:

a) Choose two ordered pairs from the table: (5, -15) and (15, -2)

Let
`(x_1,y_1)` = (5, -15)

Let
`(x_2,y_2)` = (15, -2)

Use the slope formula to find slope:
`m=(y_2-y_1)/(x_2-x_1)`

`\implies m=(-2+15)/(15-5)=(13)/(10)`

b) Use point-slope with (5, -15)

`\implies y-y_1=m(x-x_1)`

`\implies y+15=(13)/(10)(x-5)`

c) Use point-slope with (15, -2)

`\implies y-y_1=m(x-x_1)`

`\implies y+2=(13)/(10)(x-15)`

d)

`\implies y+15=(13)/(10)(x-5)`

`\implies y=(13)/(10)x-(43)/(2)`

`\implies y+2=(13)/(10)(x-15)`

`\implies y=(13)/(10)x-(43)/(2)`

Therefore, they represent the same line

e) when x = 0:

`y=(13)/(10)(0)-(43)/(2)=-(43)/(2)` °F

Represents the y-intercept on the graph