How do you graph $y = 3 x + 5$ $y=3x+5$ ?

Question

5033 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-05-29T21:42:15

See a solution process below:

First, solve for two points which solve the equation and plot these points:

First Point: For $x = 0$ $x = 0$

$y = (3 \cdot 0) + 5$ $y = (3 * 0) + 5$

$y = 0 + 5$ $y = 0 + 5$

$y = 5$ $y = 5$ or $(0, 5)$ $(0, 5)$

Second Point: For $x = 1$ $x = 1$

$y = (3 \cdot 1) + 5$ $y = (3 * 1) + 5$

$y = 3 + 5$ $y = 3 + 5$

$y = 8$ $y = 8$ or $(1, 8)$ $(1, 8)$

We can next plot the two points on the coordinate plane:

graph{(x^2+(y-5)^2-0.1)((x-1)^2+(y-8)^2-0.1)=0 [-20, 20, -10, 10]}

Now, we can draw a straight line through the two points to graph the line:

graph{(y-3x-5)(x^2+(y-5)^2-0.1)((x-1)^2+(y-8)^2-0.1)=0 [-20, 20, -10, 10]}

How do you graph y=3x+5y=3x+5?