Respuesta :

mountaaindew
y=[tex] \frac{5}{7} [/tex]x+0 is the equation. [tex] \frac{5}{7} [/tex] is the slope.

Answer:

The slope is [tex]\frac{5}{7}[/tex]

Step-by-step explanation:

Since, the slope of a line that passes through the points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is,

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Thus, the slope of the line passes through the points (7,5) and (21,15) is,

[tex]m=\frac{15-5}{21-7}[/tex]

[tex]=\frac{10}{14}[/tex]

[tex]\implies m=\frac{5}{7}[/tex]