Mathematics, 12.01.2020 02:31 timijebs

Find the equation of the line passing through the points (2,11) and (-8,-19)

Answers: 1

Show answers

Answers

Answer from: lyss12326

Slope-intercept form: y=3x+5

Standard form: 3x-y = -5

Step-by-step explanation:

The equation of a line is dependent can be defined by one of two ways:

The slope, and one point that it passes through, ORThe slope, and its y-intercept (a more specific version of the previous, it's a point where x=0)

In either case, the first step it finding the slope!

The formula for finding the slope between two lines is (y2-y1)/(x2-x1), or change in y divided by change in x.This this example, the change in y would be (-19-11) = -30The change in x would be (-8-2) = -10So change in y divided by change in x would be -30/-10 = 3 (the slope). We use the variable m to represent the slope, so we would say m=3.

If we use the more general approach, we need one more equation: this is known as the point-slope formula. This is the formula in which we can plug in a known point and a known slope to find the formula of the line defined by that point and slope.

We can use either point given! (2,11) or (-8,-19). It's up to you! I like to use the simpler/smaller numbers, so I'll use (2,11).

So, to recap:

m=3point: (2,11), or in other words, x1=2, y1=11

Point-Slope formula: y-y1=m(x-x1) where y and x stay as variables, and y1, x1, and m are replaced by our values. This gives us:

y-11=3(x-2)

Where you go from here depends on the equation form in which your text/curriculum/instructor expected the final answer. Here are a couple common forms:

Slope-intercept form: y=mx+b

For this form, we would distribute the slope 3, then solve for y:y-11 = 3x-6 (distributed 3 across the parentheses)y=3x+5 (added 11 to both sides)

Standard form: ax+by=c

This one is a little more tricky. First distribute, then move x and y to the same side, and the constant (unchanging number) to the other, making sure has a positive, whole coefficient (number multiplying in front of it). There are several ways to do this. Here's one:

y-11 = 3x-6 (distributed 3 across the parentheses)3x-6-y = -11 (subtracted by from both sides, so that x is positive)3x-y = -5 (added 6 to both sides)

Answer from: Quest

i pretty sure it is $\frac{9}{500}$

Answer from: Quest

the answer is 1/4

step-by-step explanation:

Other questions on the subject: Mathematics

Mathematics, 21.06.2019 14:40, leannesmith90101

Sara sells beaded necklaces she makes a profit of 4 dollars pn every neclace she sells which table represents the profit sara makes

Answers: 1

continue

Mathematics, 21.06.2019 16:00, Jenifermorales101

The equation x2 – 1x – 90 = 0 has solutions {a, b}. what is a + b?

Answers: 1

continue

Mathematics, 21.06.2019 17:00, scastillo8

Mary beth used the mapping rule to find the coordinates of a point that had been rotated 90° counterclockwise around the origin. examine the steps to determine whether she made an error. m (3, –6) is rotated 90° counterclockwise. (x, y) → (–y, x) 1. switch the x- and y-coordinates: (6, –3) 2. multiply the new x-coordinate by –1: (6(–1), –3) 3. simplify: (–6, –3) .

Answers: 1

continue

Mathematics, 21.06.2019 17:40, payshencec21

This is so hard and it’s for a test

Answers: 1

continue

You know the right answer?

Find the equation of the line passing through the points (2,11) and (-8,-19)...