Questions: y 10 8 6 4 2 x -10 -8 -6 -4 -2 2 4 6 8 10 -2 -4 -6 -8 -10

y 10 8 6 4 2 x -10 -8 -6 -4 -2 2 4 6 8 10 -2 -4 -6 -8 -10
Transcript text: $y$ $10$ $8$ $6$ $4$ $2$ $x$ $-10$ $-8$ $-6$ $-4$ $-2$ $2$ $4$ $6$ $8$ $10$ $-2$ $-4$ $-6$ $-8$ $-10$
failed

Solution

failed
failed

Solution Steps

Step 1: Identify the Slope of the Line

To find the slope of the line, we need to identify two points on the line. From the graph, we can see that the line passes through the points (-8, 8) and (8, -8).

The formula for the slope (m) is: \[ m = \frac{y_2 - y_1}{x_2 - x_1} \]

Using the points (-8, 8) and (8, -8): \[ m = \frac{-8 - 8}{8 - (-8)} = \frac{-16}{16} = -1 \]

Step 2: Determine the Y-Intercept

The y-intercept (b) is the point where the line crosses the y-axis. From the graph, we can see that the line crosses the y-axis at (0, 0).

Thus, the y-intercept (b) is 0.

Step 3: Write the Equation of the Line

Using the slope-intercept form of the equation of a line, which is: \[ y = mx + b \]

Substituting the slope (m = -1) and the y-intercept (b = 0): \[ y = -1x + 0 \] \[ y = -x \]

Final Answer

The equation of the line is: \[ y = -x \]

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
Suzanne was given a 50 gift card to a store. With the money on the gift card, Suzanne was able to buy n shirts that cost 8 each. Which of the following must be true? 50/n ≤ 8 50/n ≥ 8 50/8n ≤ 0 50-8n ≤ 0
failedAnswered
What is the y-intercept in the graph of the line 3x+2y=8?
failedAnswered
When a melody moves from one tone to the one next to it, it is said to move by what?
failedAnswered
Natural gas is a renewable resource. True False
failedAnswered
Which of the following supports the contention that schizophrenia is associated with brain damage? The size of the lateral ventricles increases in schizophrenic patients. The neurological symptoms noted in schizophrenia are unique to this disorder. Control subjects are more likely to show neurological symptoms. Older people, who have already lost substantial numbers of neurons, are more likely to develop schizophrenia than are younger people.