Question

How do you graph $y=\dfrac{1}{4}x+5$?

Answer 1

Hint: Now to graph the given equation we will first find some solutions to the equation. We can substitute the values of x and find corresponding values of y obtained. Hence plot the points $\left( x,y \right)$ on a graph and draw a line passing through all the points. Hence we get the graph of the solution.

Complete step-by-step answer:
Now we are given the equation $y=\dfrac{1}{4}x+5$ to graph the equation. We will first find some of the solutions of the equation.
To find the solution of the equation we will substitute different values of x and then find the3 corresponding values of y.
Now first let us substitute x = 4 in the equation then we get the corresponding value of y as $y=\dfrac{1}{4}\times 4+5=6$
Similarly now let us substitute x = - 4 then we get the value of y as $y=\dfrac{1}{4}\times \left( -4 \right)+5=4$
Again let us substitute x = - 8 in the equation hence we get the value of y as $y=\dfrac{1}{4}\times \left( 8 \right)+5=7$
Hence we get the solution of the equation (4, 6), (-4, 4) and (-8, 7)
Now we will plot these points on a graph and draw a line passing through all the points.
Hence we get,

Note: Note that we can select any value of x and plot the points but choose the value wisely such that we get y as an integer so that it will be easy to plot the point (x, y) on the graph. Also plot always positive as well as negative points so we get precise lines.