Respuesta :
Answer:
The slope that passes through the points is [tex]\frac{5}{3}[/tex]
Step-by-step explanation:
Slope is basically how much y changes when x changes by some arbitrary value and affects the line's steepness and direction. To calculate the slope of a line given two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], you use the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where [tex]m[/tex] is the slope.
Therefore, the slope between [tex]E(1,2)[/tex] and [tex]F(4,7)[/tex] is:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{7-2}{4-1}[/tex]
[tex]m=\frac{5}{3}[/tex]
This means that every time x increases by 3 units, y always increases by 5 units (which is the same as x increasing by 1 resulting in y increasing by 5/3 units).
