Answer:
The answer is [tex]y=6x-14[/tex]
Step-by-step explanation:
In order to determine the slope-intercept form equation, we need to know the formula. The formula needs a slope (m) and a point (x,y) that belongs to the equation.
[tex]y-y_1=m(x-x_1)\\m=slope\\(x_1,y_1)=point[/tex]
For m:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
So, first we have to define every variable and then we replace them into the formula:
[tex]P_1=(3,4)\\P_2=(5,16)\\m=\frac{16-4}{5-3}\\m=\frac{12}{2}=6[/tex]
It doesn't matter the order of how you define the points. The result will be the same.
Then:
[tex]y-4=6*(x-3)\\y=6*(x-3)+4\\y=6x-18+4\\y=6x-14[/tex]
Finally, the slope-intercept form equation is [tex]y=6x-14[/tex]
