How do you graph the equation $y = \frac{3}{4} x - 5$ $y=3/4x-5$ ?

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Answer 1 · 2017-09-04T16:19:21

See a solution process below:

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

First Point:

For $x = 0$ $x = 0$

$y = (\frac{3}{4} \cdot 0) - 5$ $y = (3/4 * 0) - 5$

$y = 0 - 5$ $y =0 - 5$

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

Second Point:

For $x = 4$ $x = 4$

$y = (\frac{3}{4} \cdot 4) - 5$ $y = (3/4 * 4) - 5$

$y = 3 - 5$ $y =3 - 5$

$y = - 2$ $y = -2$ or $(4, - 2)$ $(4, -2)$

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

graph{(x^2+(y+5)^2-0.075)((x-4)^2+(y+2)^2-0.075)=0 [-15, 15, -7.5, 7.5]}

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

graph{(y-3/4x+5)(x^2+(y+5)^2-0.075)((x-4)^2+(y+2)^2-0.075)=0 [-15, 15, -7.5, 7.5]}

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