Systems of Equations and Inequalities: Background You’ll Need 5
Graph horizontal and vertical lines
horizontal and vertical lines
Horizontal lines:
Equation: [latex]y=c[/latex].
Slope [latex]0[/latex].
Vertical lines:
Equation: [latex]x=c[/latex].
Slope undefined.
Graph each line.
[latex]y=-3[/latex]
[latex]x=4[/latex]
[latex]y=-3[/latex]
All points on this line have a [latex]y[/latex]-coordinate of [latex]-3[/latex]. We can generate points to plot:
[latex](0,-3)[/latex], [latex](3,-3)[/latex], [latex](-2,-3)[/latex]
[latex]x=4[/latex]
All points on this line have an [latex]x[/latex]-coordinate of [latex]4[/latex]. We can generate points to plot:
[latex](4,0)[/latex], [latex](4,-3)[/latex], [latex](4,2)[/latex]
