Given:
[tex]y=-\frac{3}{4}x+1[/tex]
Aim:
We need to graph the given function.
Explanation:
Replace x =-4 in the given equation.
[tex]y=-\frac{3}{4}(-4)+1[/tex]
[tex]y=-3(-1)+1[/tex][tex]y=3+1[/tex]
[tex]y=4[/tex]
We get the point (-4, 4).
Replace x = 0 in the given equation.
[tex]y=-\frac{3}{4}(0)+1[/tex][tex]y=1[/tex]
We get the point (0,1).
Replace x =4 in the equation.
[tex]y=-\frac{3}{4}(4)+1[/tex]
[tex]y=-3+1[/tex][tex]y=-2[/tex]
We get the point ( 4, -2).
Mark the points (-4, 4), (0,1), and ( 4, -2) on the graph and join them by ray.
Final answer:
[tex](-4,4),\text{ }(0,1),\text{ }(4,\text{ -2}).[/tex]
The graph of the given eqaution:
