Respuesta :

gmany

The formula of a slope:

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

We have

[tex]x_1=0,\ y_1=2.50\\\\x_2=1,\ y_2=5.00[/tex]

Substitute:

[tex]m=\dfrac{5-2.5}{1-0}=\dfrac{2.5}{1}=2.5[/tex]

y-intercept is for x = 0. Therefore y-intercept = 2.50.

The linear relationship: y = mx + b

m - slope

b - y-intercept

Substitute:

y = 2.5x + 2.5

Answer:

Part A. the slope = 2.5 and y-intercept = 2.5

Part B. y = 2.5x + 2.5

Answer:

slope is 2.5

y intercept is 2.5

equation is y = 2.5x + 2.5

Step-by-step explanation:

We can find the slope by using the formula

m = (y2-y1)/(x2-x1)

   = (27.5-2.5)/(10-0)

    = (25/10)

    = 2.5

The y intercept is the y value when x = 0

The y intercept is 2.5

The equation for the line can be written using the formula

y= mx +b where m is the slope and b is the y intercept

y = 2.5x + 2.5