Given the points A(1,-3) and B(-4,7), find the slope of a line parallel to line AB.

Mathematics

1 answer:

maksim [4K]3 years ago

6 0

<h3>Answer: Choice C) m = -2</h3>

======================================================

Explanation:

Let's find the slope of line AB

m = (y2-y1)/(x2-x1)

m = (7-(-3))/(-4-1)

m = (7+3)/(-4-1)

m = 10/(-5)

m = -2

The slope of line AB is -2

The slope of any line parallel to line AB will also have the same slope.

Parallel lines have equal slopes, but different y intercepts.

You might be interested in

Look at the graph shown:

NNADVOKAT [17]

We are going to base the answer off of the y=mx+b form where m represents slope and b represents the y-intercept.

First, we know that b must be -1 because the line hits the y-axis when y is -1
So this leaves us with either the first or second choice

Then we choose two points to find the slope. I am using (0,-1) and (1,2). If you count the boxes, the y-value increases by 3 as the x-value increases by 1. So the slope is 3/1 or 3.

So then we know the answer is y=3x-1

Hope this helps

4 0

4 years ago

A child walks due east on the deck of a ship at 3 miles perhour.

VladimirAG [237]

Answer:

16.28 mph ; 79.38°

Step-by-step explanation:

Given the following :

Speed of child due east = 3mph

Speed of ship due North = 16mph

Relative speed of th child is obtained by using Pythagoras rule to find the hypotenus

Relative Speed = Sqrt(3² + 16²)