Show me a graph that represents

Question

Y-4=-5(x-1)
Give me some coordinate examples
And if the line is negative or positive

Answer 1

To represent the equation Y-4=-5(x-1) in a graph, we can start by simplifying the equation. Distributing -5 to (x-1), we get:

Y-4=-5x+5

Now, let's isolate Y by moving -4 to the right side:

Y=-5x+9

Here is a graph that represents this equation:

```
^
| -
| -
| -
| -
-+----------------------------------->
| -5 -4 -3 -2 -1 0 1 2 3 4 5
```

Now, to find some coordinate examples, we can plug in different values for x and solve for y using the equation Y=-5x+9. Let's use three examples:

1. For x = 0:
Y = -5(0) + 9
Y = 9
So, one coordinate example is (0, 9).

2. For x = 2:
Y = -5(2) + 9
Y = -10 + 9
Y = -1
So, another coordinate example is (2, -1).

3. For x = -3:
Y = -5(-3) + 9
Y = 15 + 9
Y = 24
So, one more coordinate example is (-3, 24).

Now, let's determine if the line is negative or positive. Looking at the equation Y = -5x + 9, we see that the coefficient of x is -5. Since -5 is negative, the line will have a negative slope.