Respuesta :
Answer:
y=(1/2)x+8
Explanation:
When Hari does 12 chores, his allowance is $14.
• We write this as coordinate (12, 14).
When Hari does 8 chores, his allowance is $12.
• We write this as coordinate (8, 12).
To write the equation for his allowance in slope-intercept form, we begin by solving for the slope.
[tex]\begin{gathered} \text{Slope}=\frac{Change\text{ in y-axis}}{Change\text{ in x-axis}} \\ =\frac{14-12}{12-8} \\ =\frac{2}{4} \\ m=\frac{1}{2} \end{gathered}[/tex]Next, we substitute the slope and any of the points (I use (8, 12)) into the point-slope form.
[tex]y-y_1=m(x-x_1)[/tex][tex]\begin{gathered} y-12=\frac{1}{2}(x-8) \\ y=\frac{1}{2}x-\frac{8}{2}+12 \\ y=\frac{1}{2}x-4+12 \\ y=\frac{1}{2}x+8 \end{gathered}[/tex]The equation for his allowance in slope-intercept form is:
[tex]y=\frac{1}{2}x+8[/tex]