Question

Help PLZ i’m just trying to finish this without getting any wrong

Answer 1

The arrangement of the given equation in the slope - intercept form are

1.
`y = 1x +82`

Step-by-step explanation:

Given:

Let A ≡ ( x1 , y1 ) ≡ (-12 , 70)

B ≡ ( x2 , y2 ) ≡ (-4 , 78)

Slope - intercept form :

`y=mx+c`

Where,

m is the slope of the line.

c is the y-intercept.

When two points are given say ( x1 , y1 ) and ( x2 , y2) we can remove slope by

Slope,

`m=(y_(2)- y_(1))/(x_(2)- x_(1))`

∴
`m =(78-70)/(-4--12)\\m =(8)/(-4+12)\\m =(8)/(8)\\ m= 1`

Now equation of a line for a point ( x1 , y1 ) and having slope m is given as,

`(y-y_(1))=m(x- x_(1))\\ \textrm{substituting ( x1 , y1 ) and m we get}\\y-70=1(x-(-12))\\y= x+12+70\\y=x+82`

Which is in the required form

y = 1x + 82

Intercepts: Where the line cut X axis called X- intercept and where cut Y axis is called Y- intercept.