Question

How do you graph `y=-2x+7`?

Answer 1

See a solution process below:

Explanation:

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

First Point: For `x = 2`

`y = (-2 * 2) + 7`

`y = -4 + 7`

`y = 3` or `(2, 3)`

Second Point: For `x = 4`

`y = (-2 * 4) + 7`

`y = -8 + 7`

`y = -1` or `(4, -1)`

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

graph{((x-2)^2+(y-3)^2-0.035)((x-4)^2+(y+1)^2-0.035)=0 [-10, 10, -5, 5]}

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

graph{(y + 2x - 7)((x-2)^2+(y-3)^2-0.035)((x-4)^2+(y+1)^2-0.035)=0 [-10, 10, -5, 5]}