How do you graph $1.5 x + y = 4$ $1.5x + y = 4$ ?

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Answer 1 · 2017-10-14T18:12:58

See a solution process below:

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

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

$(1.5 \cdot 0) + y = 4$ $(1.5 * 0) + y = 4$

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

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

Second Point: For $x = 2$ $x = 2$

$(1.5 \times 2) + y = 4$ $(1.5 xx 2) + y = 4$

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

$- 3 + 3 + y = - 3 + 4$ $-color(red)(3) + 3 + y = -color(red)(3) + 4$

$0 + y = 1$ $0 + y = 1$

$y = 1$ $y = 1$ or $(2, 1)$ $(2, 1)$

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

graph{(x^2+(y-4)^2-0.025)((x-2)^2+(y-1)^2-0.025)=0 [-10, 10, -2, 8]}

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

graph{(1.5x + y - 4)(x^2+(y-4)^2-0.025)((x-2)^2+(y-1)^2-0.025)=0 [-10, 10, -2, 8]}

How do you graph 1.5x+y=41.5x + y = 4 ?