Question

How do i graph the equationY= -1/4x+6

Answer 1

Given equation :

$y=-\frac{1}{4}x+6$

To graph the equation we need coordinates values of (x,y) so let us put different values of x to determine the corresponding value of y.

put x=0

$\begin{gathered} y=\frac{1}{4}(0)+6 \\ y=6 \end{gathered}$

Thus, (x,y)= (0,6).

put x=1

$\begin{gathered} y=-\frac{1}{4}x+6 \\ y=-\frac{1}{4}(1)+6 \\ y=-\frac{1}{4}+6 \\ y=\frac{-1+24}{4} \\ y=\frac{23}{4} \\ y=5.75 \end{gathered}$

Thus, (x,y)= (1,5.75)

put x=2

$\begin{gathered} y=-\frac{1}{4}(2)+6 \\ y=-\frac{2}{4}+6 \\ y=-\frac{1}{2}+6 \\ y=\frac{-1+12}{2} \\ y=\frac{11}{2} \\ y=5.5 \end{gathered}$

Thus, (x,y)=(2,5.5)

Put x=3.

$\begin{gathered} y=-\frac{1}{4}(3)+6 \\ y=-\frac{3}{4}+6 \\ y=\frac{-3+24}{4} \\ y=\frac{21}{4} \\ y=5.25 \end{gathered}$

Thus, (x,y)= (3,5.25)

contiuning like this we get a graph as below,