Question

How do you graph the equation `y=-5/4x+1`?

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 = (-5/4 * 0) + 1`

`y = 0 + 1`

`y = 1` or `(0, 1)`

Second Point:

For `x = 4`

`y = (-5/4 * 4) + 1`

`y = -20/4 + 1`

`y = -5 + 1`

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

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

graph{(x^2+(y-1)^2-0.075)((x-4)^2+(y+4)^2-0.075)=0 [-20, 20, -10, 10]}

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

graph{(y+5/4x-1)(x^2+(y-1)^2-0.075)((x-4)^2+(y+4)^2-0.075)=0 [-20, 20, -10, 10]}