How do you graph $y = 3 x + 4$ $y=3x+4$ by plotting points?

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Answer 1 · 2018-05-30T13:49:17

See a solution process below:

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

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

$y = (3 \cdot 0) + 4$ $y = (3 * 0) + 4$

$y = 0 + 4$ $y = 0 + 4$

$y = 4$ $y = 4$ or $(0, 4)$ $(0, 4)$

First Point: For $x = 1$ $x = 1$

$y = (3 \cdot 1) + 4$ $y = (3 * 1) + 4$

$y = 3 + 4$ $y = 3 + 4$

$y = 7$ $y = 7$ or $(1, 7)$ $(1, 7)$

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

graph{(x^2+(y-4)^2-0.1)((x-1)^2+(y-7)^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 - 4)(x^2+(y-4)^2-0.1)((x-1)^2+(y-7)^2-0.1)=0 [-20, 20, -10, 10]}

How do you graph y=3x+4y=3x+4 by plotting points?