Question

How do you graph `y=-x+3` and `y=-4x-6`?

Answer 1

See a solution process below:

Explanation:

To graph these two linear equations for each equation we need to:

• Solve each equation for two points.
• Plot the two points
• Draw a straight line through the two points to graph the line for the equation.

Equation 1:

• First Point: For `x = 0`

`y = -0 + 3`

`y = 3` or `(0, 3)`

• Second Point: For `x = 3`

`y = -3 + 3`

`y = 0` or `(3, 0)`

We can next plot the two points on the coordinate plane and draw a line through the two points.:

graph{(y+x-3)(x^2+(y-3)^2-0.04)((x-3)^2+y^2-0.045)=0 [-20, 20, -10, 10]}

Equation 2:

• First Point: For `x = 0`

`y = (-4 xx 0) - 6`

`y = 0 - 6`

`y = -6` or `(0, -6)`

• Second Point: For `x = -2`

`y = (-4 xx -2) - 6`

`y = 8 - 6`

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

We can next plot the two points on the coordinate plane and draw a line through the two points.:

graph{(y+4x+6)(y+x-3)(x^2+(y+6)^2-0.075)((x+2)^2+(y-2)^2-0.075)=0 [-20, 20, -10, 10]}