Answer:
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 = [tex]\frac{y_{2}-y_{1}}{x_{2}-x{1}}[/tex]
Point A: [tex](x_{1}, y_{1})[/tex]
Point B: [tex](x_{2}, y_{2})[/tex]
m = [tex]\frac{0 - (-1)}{-1 - 0}[/tex]
m = [tex]\frac{1}{-1}[/tex]
m = -1
y = -1x - 1
In other words, y = -x - 1
Hope this helped! <3
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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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.