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Sonja [21]
3 years ago
14

Please help See the picture Giving brainlest

Mathematics
1 answer:
alekssr [168]3 years ago
3 0

Answer:

y = -5x - 5

Step-by-step explanation:

To start with the slope, given by two points on the graph:

(-2, 5) and (-1, 0):

Let x1 = -2

x2 = -1

y1 = 5

y2 = 0

We can use the slope formula:

m = \frac{(y_{2} - y_{1})}{(x_{2} - x_{1})} = \frac{rise}{run}

m = \frac{0 - 5}{-1 - (-2)} = \frac{-5}{1} or  -5

It is a negative slope because it is sloping downwards.

Now that we have our slope, we can move on to the y-intercept. The y-intercept is the value of y when the value of x = 0.  Looking at the graph, we can see that the y-intercept is (0, -5). It is usually the point where it touches the y-axis.

Now that we have our slope and y-intercept, we can establish our linear equation in the slope-intercept form, <em>y = mx + b</em>:

y = -5x - 5

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