Determine the criterion of the linear function as appropriate: 1. Which passes through (−1, 8) and is parallel to y = 8x − 5

Name: Solved: Determine the criterion of the linear function as appropriate: 1. Which passes through (−1, 8) and is parallel to y = 8x − 5 - MathMaster
Brand: MathMaster
Rating: 4.9 (186 reviews)

186

likes

932 views

Answer to a math question Determine the criterion of the linear function as appropriate: 1. Which passes through (−1, 8) and is parallel to y = 8x − 5

$Expert avatar$

Ali

4.4

92 Answers

1. Identify the slope of the given line

y = 8x - 5

. The slope is

since it's the coefficient of

.
2. Use the point-slope form of a line equation

y - y_1 = m(x - x_1)

where

is the slope and

(x_1, y_1)

is the point through which the line passes.
3. Point given is

(-1, 8)

and

m = 8

.
Substitute into the point-slope form:

y - 8 = 8(x + 1)

4. Distribute and solve for

y - 8 = 8x + 8

y = 8x + 16

5. Therefore, the equation of the line parallel to

y = 8x - 5

passing through

(-1, 8)

is:

y = 8x + 16

Frequently asked questions (FAQs)

What is the variance of a set of data with values: 2, 4, 6, 8?

Math question: Given a quadratic function y = ax^2 + bx + c, where a is not equal to 0, graph the function for a = 2, b = -3, and c = 1 using a coordinate plane. Identify the vertex, axis of symmetry, and x-intercepts.

Question: Find the sum of the mixed numbers 3 1/2, 2 3/4, and 1 2/3. Factor the result and list all the factors. Finally, determine if any of these factors are real numbers.

New questions in Mathematics

Find 2 numbers that the sum of 1/3 of the first plus 1/5 of the second will be equal to 13 and that if you multiply the first by 5 and the second by 7 you get 247 as the sum of the two products with replacement solution

2x-y=5 x-y=4

4x-3y=5;x+2y=4

Margin of error E=0.30 populations standard deviation =2.5. Population means with 95% confidence. What I the required sample size (round up to the whole number)

"If three wolves catch three rabbits in three hours, how many wolves would it take to catch a hundred rabbits in a hundred hours?" The answer is the number of response units.

A study reports the following final notation: F (3, 32) = 9.50, p < .05. How many total participants were involved in this study? Group of answer choices 34 32 36

Suppose you have a sample of 100 values from a population with mean mu = 500 and standard deviation sigma = 80. Given that P(z < −1.25) = 0.10565 and P(z < 1.25) = 0.89435, the probability that the sample mean is in the interval (490, 510) is: A)78.87% B)89.44% C)10.57% D)68.27%

Determine the reduced equation of the straight line that is perpendicular to the straight line r: y=4x-10 and passes through the origin of the Cartesian plane

Determine the increase of the function y=4x−5 when the argument changes from x1=2 to x2=3

The sick-leave time of employees in a firm in a month is normally with a mean of 100 hours and a standard deviation of 20 hours. Find the probability that the sick-leave time of an employee in a month exceeds 130 hours.

Quadratic equation 2X = 15/X + 7