Answer:
Well an equation for a linear equation would be in The format
y= mx + b
With the only importance here is M being the slope and the B being the y-intercept.
We can’t have an exact estimate of the Y intercept so we can use point slope formula which is a build up of y=mx+b or you can just subsitute, I’ll go over both ways.
Point slope solution
Point slope formula is
y-y1 = m(x-x1)
1 does not impact the form, it’s a label.
(x1,y1) is the first coordinate which can also be any LABELED so lets do (4,6).
M represents slope.
To count slope we need to follow the formul
y2-y1 / X2-x1
Now solve.
6-1/ 4- (-2)
5/6 is the slope here.
So plugging everything into point slope formula.
y - 6 = 5/6 ( x - 4)
Solve.
Isolate the equation into y=mx + b
y = 5/6x + 2 2/3 is your final equation.
Slope intercept solution
Well this is just the name.
Plus in everything you know into y=mx + b
We know that the slope (m) is 5/6
(x,y) can be any point on the line so lets use (4,6)
We solve for b (y- intercept)
So…
6 = 5/6 (4) + b
Solve
6= 20/6 +b
2 2/3 = b
Now plug it in normally.
Y= 5/6x + 2 2/3