Respuesta :
EXPLANATION
Given the ordered pairs:
[tex](x_1,y_1)=(0,2)[/tex][tex](x_2,y_2)=(2,10)[/tex]We know that y= mx + b is the slope-intercept form of a line where m is the slope and b is the y-intercept.
Compute the slope:
Slope between two points:
[tex]\text{Slope}=\frac{(y_2-y_1)}{(x_2-x_1)}[/tex]Replacing terms:
[tex]\text{Slope}=\text{ }\frac{(10-2)}{(2-0)}[/tex]Refining:
[tex]\text{Slope}=\frac{8}{2}=4[/tex]Plug the slope 4 into y=mx + b
y= 4x + b
Plug in (0,2):
2 = 4*0 + b
Isolate b:
2 = b
Construct the line equation y=mx + b where m=4 and b=2
y= 4x + 2
