Mathematics, 06.10.2019 11:00 wwwgr78

Which equation represents the line passes through points (1,-5 and (3,-17

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Answer from: ptrlvn01

The equation of the line that passes through the points $\left( {1, - 5} \right)$ and $\left( {3, - 17} \right)$ is $\boxed{y= -6x + 1}.$

Further explanation:

The linear equation with slope m and intercept c is given as follows.

$\boxed{y = mx + c}$

The formula for slope of line with points $\left( {{x_1},{y_1}} \right)$ and $\left({{x_2},{y_2}}\right)$ can be expressed as,

$\boxed{m=\dfrac{{{y_2} - {y_1}}}{{{x_2} - {x_1}}}}$

Given:

The passes through the points are $\left({1, - 5}\right)$ and $\left({3, - 17}\right).$

Explanation:

The line passes the points that are $\left({1, - 5}\right)$ and $\left( {3, - 17}\right).$

The slope of the line can be obtained as follows.

$\begin{aligned}m&=\frac{{-17-\left( { - 5}\right)}}{{\left( 3 \right) - 1}}\\&=\frac{{ - 12}}{2}\\&=- 6\\\end{aligned}$

The slope of the line ism = - 6.

The line passes through the point $\left({3, - 17}\right).$

Substitute 3 for x, - 6 for m and -17 for y in equation y = mx + c to obtain the value of c.

$\begin{aligned}-17&= - 6\left(3\right)+c\\- 17&=- 18+ c\\- 17 + 18 &= c\\1 &=c\\\end{aligned}$

The equation is y = - 6x + 1.

Hence, the equation of the line that passes through the points $\left( {1, - 5}\right)$ and $\left( {3, - 17}\right)$ is $\boxed{y= -6x + 1}.$

Learn more:

1. Learn more about inverse of the functionhttps://link.

2. Learn more about equation of circle link.

3. Learn more about range and domain of the function link

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Linear equation

Keywords: numbers, slope, slope intercept, inequality, equation, linear inequality, shaded region, y-intercept, graph, representation, origin.

Answer from: elizabethajih99

(1,-5)(3,-17)
slope = (-17 - (-5) / (3 - 1) = - 12/2 = - 6

y = mx + b
slope(m) = -6
use either of ur points...(1,-5)...x = 1 and y = -5
now we sub and find b, the y int
-5 = -6(1) + b
-5 = -6 + b
-5 + 6 = b
1 = b

so ur equation is : y = -6x + 1or 6x + y = 1

Answer from: Quest

answer: if you weigh 60 pounds on earth, on the moon you will weigh about 10 pounds. if you weigh 120 pounds on earth, you will weigh about 20 pounds on the moon. since weight is caused by the mass of two objects that are near each other, the bigger the objects, the more the force of gravity.

step-by-step explanation: if you weigh 60 pounds on earth, on the moon you will weigh about 10 pounds. if you weigh 120 pounds on earth, you will weigh about 20 pounds on the moon. since weight is caused by the mass of two objects that are near each other, the bigger the objects, the more the force of gravity.

Answer from: Quest

idk man good luck man