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To find the equation of the graphed line, we need to identify its slope and y-intercept. The slope is the ratio of the vertical change to the horizontal change between any two points on the line. The y-intercept is the point where the line crosses the y-axis.
Looking at the image, we can see that the line passes through the points (-3, 4) and (3, -2). We can use these points to calculate the slope:
slope = (y2 - y1) / (x2 - x1) slope = (-2 - 4) / (3 - (-3)) slope = -6 / 6 slope = -1
The slope of the line is -1. This means that for every unit increase in x, the y value decreases by 1 unit.
To find the y-intercept, we can use either of the points and plug them into the equation y = mx + b, where m is the slope and b is the y-intercept. For example, using the point (-3, 4), we have:
4 = -1 * (-3) + b 4 = 3 + b b = 1
The y-intercept of the line is 1. This means that the line crosses the y-axis at (0, 1).
Therefore, the equation of the graphed line is:
y = -x + 1
This equation matches with one of the options given below the graph: y = -1/2x + 4. This is because we can multiply both sides of the equation by 2 and get:
2y = -2x + 2 y = -1/2x + 4
Answer: The equation that describes the graphed line is y = -1/2x + 4.
Answer:
2
Step-by-step explanation:
Since the 12 + 6 are parenthesis, we do these first
12 + 6 = 18
Then will solve the rest, 20 - 18
20 - 18 = 2, therefore leaving us with the answer of 2
Answer:
Step-by-step explanation:
When we write a terminating decimal as a fraction,
Then we follow the below steps,
Step 1 : Write the number with denominator 1,
Step 2 : multiply numerator and denominator by an exponent of 10 ( like 10, 100, 100 etc ) to eliminate the decimal,
Step 3 : simplify the fraction by dividing both numerator and denominator by the HCF of numerator and denominator,
Here, the given number,
0.85
( HCF (85, 100) = 5 )
16x2y2 + 9z2, a perfect square trinomial
16x2y2 – 24xyz + 9z2, the difference of squares
16x2y2 – 24xyz + 9z2, a perfect square trinomial
Answer:
Step-by-step explanation:
Given expression has exponent 2, so we multiply it twice
Apply FOIL method to multiply the parenthesis
multiply 4xy inside the second parenthesis
and multiply -3z inside the second parenthesis
Combine like terms
Answer:
slope = 0
Step-by-step explanation:
calculate the slope m using the slope formula
m =
let (x₁, y₁ ) = (- 1, - 15 ) and (x₂, y₂ ) = (6, - 15 )
substitute these values into the formula for m
m = = = = 0