Respuesta :

the answer is (A) 1/4

Answer:

Slope of the line is  [tex]m=\frac{1}{4}[/tex]

Step-by-step explanation:

Given : A line in the Cartesian plane passes through the points  A [tex](x_1,y_1)=(1,3)[/tex] and B  [tex](x_2,y_2)=(5,4)[/tex]

To find : The slope of line

Formula used :

Slope formula of two points →[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Now, put the values in formula

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

[tex]m=\frac{4-3}{5-1}[/tex]

[tex]m=\frac{1}{4}[/tex]

Therefore, the slope of the line is  [tex]m=\frac{1}{4}[/tex]