Question

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

Answer 1

Answer:

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,

$m=\frac{y_{2}- y_{1}}{x_{2}- x_{1}}$

∴ $m =\frac{78-70}{-4--12}\\m =\frac{8}{-4+12}\\m =\frac{8}{8}\\ m= 1$

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.