Question

Please help! Write in y=mx+b

Answer 1

1.
`y = 3x -1`

2.
`y = -2x - 2`

3.
`y = -x - 4`

Explanation:

we already know the slope of the three lines.

We know that the equation of a line is

`y = mx + b`

We only need one point.

1. First graph

`m = 3`

pto (1, 2)

Then the equation is:

`y = 3x + b`

Now we substitute the point in the equation and clear b.

`2 = 3(1) + b`

`b = -1`

Finally the equation is:

`y = 3x -1`

2. Second graph.

`m = -2`

pto (-2, 2)

Then the equation is:

`y = -2x + b`

Now we substitute the point in the equation and clear b.

`2 = -2(-2) + b\\b = -2`

Finally the equation is:

`y = -2x -2`

3. Third graphic

`m = -1`

pto (-1, -3)

Then the equation is:

`y = -x + b`

Now we substitute the point in the equation and clear b.

`-3 = -1(-1) + b`

`b = -4`

Finally the equation is:

`y = -x - 4`