Mathematics: A line with slope -2 and y- intercept 4

A line with slope -2 and y- intercept 4 - id2410862485, ejfleck3655

Ответ:

zachcochran2007

18.03.2022

Mathematics

y=-2x+4

Step-by-step explanation:

y=mx+b where m is the slope b is the y-intercept.

Plug in values to get:

y=-2x+4

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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:

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

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A line with slope -2 and y- intercept 4

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