Answer:
1. [tex]y = 3x -1[/tex]
2. [tex]y = -2x - 2[/tex]
3. [tex]y = -x - 4[/tex]
Step-by-step explanation:
we already know the slope of the three lines.
We know that the equation of a line is
[tex]y = mx + b[/tex]
We only need one point.
1. First graph
[tex]m = 3[/tex]
pto (1, 2)
Then the equation is:
[tex]y = 3x + b[/tex]
Now we substitute the point in the equation and clear b.
[tex]2 = 3(1) + b[/tex]
[tex]b = -1[/tex]
Finally the equation is:
[tex]y = 3x -1[/tex]
2. Second graph.
[tex]m = -2[/tex]
pto (-2, 2)
Then the equation is:
[tex]y = -2x + b[/tex]
Now we substitute the point in the equation and clear b.
[tex]2 = -2(-2) + b\\b = -2[/tex]
Finally the equation is:
[tex]y = -2x -2[/tex]
3. Third graphic
[tex]m = -1[/tex]
pto (-1, -3)
Then the equation is:
[tex]y = -x + b[/tex]
Now we substitute the point in the equation and clear b.
[tex]-3 = -1(-1) + b[/tex]
[tex]b = -4[/tex]
Finally the equation is:
[tex]y = -x - 4[/tex]
