Answer:
Equation of the line is:
y = 1.2x + 3.2
Explanation:
The general form of the linear equation is:
y = mx + c
where:
m is the slope
c is the y-intercept
1- getting the slope:
The slope of the line can be calculated using the following formula:
m = [tex] \frac{y2 - y1}{x2 - x1} [/tex]
We are given the points:
(-6,-4) representing (x1,y1)
(4,8) representing (x2,y2)
Substitute with the given points in the above equation to get the slope as follows:
m = [tex] \frac{8--4}{4--6} = 6/5 [/tex]
The equation of the line now is:
y = 1.2x + c
2- getting the y-intercept:
To get the value of the c, we will use any of the given points, substitute in the equation and solve for c.
I will use the point (4,8) as follows:
y = 1.2 x + c
8 = 1.2(4) + c
c = 16/5 = 3.2
Therefore, the equation of the line is:
y = 1.2x + 3.2
Hope this helps :)
