1. What is the equation for the line that passes through the point (-5,2) and has a slope of 0?
Answer-2
2. What is the slope of the line that passes through the points (-2, 4, 15) and (1, 1.24)?
Answer- -2.91
3. Write a funciton rule for the table shown
x 2 3 4
F(x) 8 27 64
Answer- f(x) = x^3
4. Simplify 41 - [3(6-3)]
Answer-32
1) y=2
2) You have a typo in the problem statement
3) agree
4) 41-9 = 32 agree
2. What is the slope of the line that passes through the points (-2, 4.15) and (1, 1.24)?
a.-2.91
b.-0.97
c. 3
d. none of these
Answer-a
slope = (1.24 - 4.15)/(1 -(-2))
= -2.91/3
= -.97
1. To find the equation for the line that passes through the point (-5,2) and has a slope of 0, we can use the point-slope form of a linear equation, which is y - y1 = m(x - x1), where (x1, y1) is the given point and m is the slope. Since the slope is 0, the equation becomes y - 2 = 0(x - (-5)) or y - 2 = 0 or simply y = 2. Therefore, the equation for the line is y = 2.
2. To find the slope of the line that passes through the points (-2, 4, 15) and (1, 1.24), we need to use the formula for slope, which is (change in y)/(change in x). The change in y is 1.24 - 15 = -13.76 and the change in x is 1 - (-2) = 3. Therefore, the slope is (-13.76)/(3) = -2.91.
3. To write a function rule for the table shown, we need to identify the relationship between the input (x) and the output (F(x)). Looking at the table, it can be observed that the output is equal to the cube of the input. Therefore, the function rule is f(x) = x^3.
4. To simplify the expression 41 - [3(6-3)], we start by evaluating the expression inside the parentheses (6-3), which is equal to 3. Then, we multiply 3 by 3, giving us 9. Finally, we subtract 9 from 41, resulting in 32. Hence, the simplified expression is 32.