to find the slope we just need two points I will take the points (0,25)and (1,35)
the slope formula is
[tex]m=\frac{y2-y1}{x2-x1}[/tex]where(x2,y2) is a rigth point from (x1,y1)
(x2,y2)= (1,35) and (x1,y1)=(0,25)
replacing
[tex]\begin{gathered} m=\frac{35-25}{1-0} \\ \\ m=10 \end{gathered}[/tex]the slope is 10 and represent the inclination of the line and the increase for each unit in x
The y-intercept
is the cut with the y axis and represent the value of y when x is 0 , or the initial value of the line
the y-intercept is 25
The variables and the equation
total monthly cost depends on number of hot yoga practice, so the monthly cost is Y and the number of hot yoga practice is X
the general equation of the line is
[tex]y=mx+b[/tex]where m is the slope and b the y-intercept, s the equation is
[tex]y=10x+25[/tex]what does each point represent?
ordered pairs indicating the number of hot yoga practices in a month and its respective
monthly cost