Question

How do you graph the line `y=.9754x + 4.6396`?

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 = 0`

`y = (0.9754 * 0) + 4.6396`

`y = 0 + 4.6396`

`y = 4.6396` or `(0, 4.6396)`

Second Point:

For `x = -2`

`y = (0.9754 * -2) + 4.6396`

`y = -1.9508 + 4.6396`

`y = 2.6888` or `(-2. 2.6888)`

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

graph{(x^2+(y-4.6396)^2-0.05)((x+2)^2+(y-2.6888)^2-0.05)=0 [-15, 15, -7.5, 7.5]}

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

graph{(y-0.9754x-4.6396)(x^2+(y-4.6396)^2-0.05)((x+2)^2+(y-2.6888)^2-0.05)=0 [-15, 15, -7.5, 7.5]}