Question

Can someone plz help me???

Type the correct answer in the box.
The equation of the line in the graph is y = ____x + ____
(Graph in photo)

Answer 1

Answer: y = -1x - 1

This means -1 goes in the first box, and -1 goes in the second box.

y = -1x - 1 is the same as y = -x - 1

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Step-by-step explanation:

The two points (0,-1) and (1,-2) are on the red diagonal line.

Let's use the slope formula to compute the slope

m = (y2-y1)/(x2-x1)

m = (-2-(-1))/(1-0)

m = (-2+1)/(1-0)

m = -1/1

m = -1

The slope is -1.

The y intercept is -1 because the red line crosses the y axis at -1.

Since the y intercept is -1, this means b = -1.

With m = -1 and b = -1, we go from y = mx+b to y = -1x + (-1). This is the same as y = -1x - 1

Furthermore, that equation simplifies to y = -x - 1.

Side note: the slope and y intercept aren't always the same value.

Answer 2

y = -x - 1

Step-by-step explanation:

y = mx + b

m = slope

b = y-intercept

On the graph, the point on the y-axis is the y-intercept. That point is (0, -1). So the y-intercept is -1.

To find the slope, find two points and put it in the slope equation.

Point A: (0, -1)

Point B: (-1, 0)

m =
`\frac{y_(2)-y_(1)}{x_(2)-x{1}}`

Point A:
`(x_(1), y_(1))`

Point B:
`(x_(2), y_(2))`

m =
`(0 - (-1))/(-1 - 0)`

m =
`(1)/(-1)`

m = -1

y = -1x - 1

In other words, y = -x - 1

Hope this helped! <3