Answer:
y = 6x - 14
Explanation:
The general formula of the linear line is:
y = mx + c
where:
m is the slope and c is the y-intercept
1- getting the slope:
slope is calculated as follows:
m = [tex] \frac{y2-y1}{x2-x1} [/tex] = [tex] \frac{16-4}{5-3} = 6[/tex]
The equation of the line now is:
y = 6x + c
2- getting the y-intercept:
To get the y-intercept, we will use any of the given points, substitute in the equation and solve for c.
I will use the point (3,4) as follows:
y = 6x + c
4 = 6(3) + c
4 = 18 + c
c = -14
Based on the above calculations, the equation of the line is:
y = 6x - 14
Hope this helps :)
