-u +42 = 236 solve for u

Solved

Show answers

Ответ:

jgill27

14.08.2021

Mathematics

$y = \frac{1}{2}x-3\\$

Step-by-step explanation:

To write an equation in slope-intercept form with the given information, first write the equation in point-slope form, then transfer it to slope-intercept form.

1) First, find the slope. Using the x and y values of the two points given, substitute them in the correct order into the slope formula $\frac{y_2-y_1}{x_2-x_1}$ and solve:

$\frac{(-12)-(-14)}{(-18)-(-22)} \\= \frac{-12+14}{-18 + 22} \\= \frac{2}{4} \\= \frac{1}{2}$

Thus, the slope is $\frac{1}{2}$ .

2) Now that we know the slope and at least one point the line intersects, use the point-slope form y-y_1 = m (x-x_1) .

Since represents the slope, substitute it for $\frac{1}{2}$ in the equation. Since x_1 and y_1 represent the x and y values of one point the line intersects, substitute the x and y values of one of the given points into the equation as well. (Either point is fine, and I chose (-18, -12) as seen below.) Afterwards, isolate y to get the following answer and equation:

$y - (-12) = \frac{1}{2} (x-(-18))\\y + 12 = \frac{1}{2} (x + 18)\\y + 12 = \frac{1}{2} x + 9 \\y = \frac{1}{2} x -3$

0,0(0 оценок)

Ask your question to the AI advisor

Ai-bot is an expert in any field and is the perfect companion for reliable and useful answers and advice on a variety of topics, including science, history, technology, art, sports, health, culture and more.

Ask your question

More tips

Answers on questions: Mathematics

Ask an AI advisor a question

I want advice