Answer:
Note that for graph, Y = mx + c, where m = slope of graph and c = y-intersect
1) equation of line: y = [tex]-\frac{3}{4} x[/tex] + 4 ∴ m = -3/4 , c = 4
2) equation of line: y = [tex]\frac{3}{2} x[/tex] + 3 m = 3/2 , c = 3
3) equation of line: y = [tex]-\frac{2}{5} x[/tex] - 2 m = -2/5 , c = -2
4) equation of line: y = [tex]\frac{1}{2} x[/tex] + 3 m = 1/2 , c = 3
5) equation of line: y = -x + 2 m = -1 , c = 2
6) equation of line: y = [tex]-\frac{5}{2} x[/tex] - 1 m = -5/2 , c = -1
Step-by-step explanation:
For each of the line equations, "m" is the slope which is also dy/dx. Also the intersect "c" is on the y axis(Vertical line).
For each equation, assume a number for 'x' then solve for y.... you will be able to get coordinates (x,y) for each graph.
Using 1) as example:
1) equation of line: y = [tex]-\frac{3}{4} x[/tex] + 4 ∴ m = -3/4 , c = 4
at intersection 'c', y = 4, when x = 0
∴ y = -3/4 (1) + 4 = [tex]3\frac{1}{4}[/tex]
repeat for x = 2, 3, 4, 5, 6
Do same for equation line 2, 3, 4, 5, 6 to get coordinates to plot each graph
