Given the equation:
[tex]y=2x+5[/tex]Let's graph the equation.
To graph the equation, let's use three random points.
Find values of y using random values of x.
We have the following:
• When x = -1:
Substitute -1 for x and solve for y
[tex]\begin{gathered} y=2(-1)+5 \\ y=-2+5 \\ y=3 \\ \\ When\text{ x=-1, y=3} \end{gathered}[/tex]• When x = 0:
[tex]\begin{gathered} y=2(0)+5 \\ y=0+5 \\ y=5 \\ \\ \text{ When x=0, y = 5} \end{gathered}[/tex]• When x = 1:
[tex]\begin{gathered} y=2(1)+5 \\ y=2+5 \\ y=7 \\ \\ \text{ When x=1, y = 7} \end{gathered}[/tex]Therefore, we have the points:
(x, y) ==> (-1, 3), (0, 5), (1, 7)
To graph the equation, plot the points on a graph and connect the points using a straight line.
We have the graph below:
