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aliya0001 [1]
3 years ago
13

Write an equation for the line described. Give the answer in standard form. through (2,6), m= -5​

Mathematics
1 answer:
LiRa [457]3 years ago
8 0

9514 1404 393

Answer:

  5x +y = 16

Step-by-step explanation:

Given a point and slope, it often works well to start with the point-slope form of the equation for a line:

  y -k = m(x -h) . . . . . . . . line with slope m through point (h, k)

Your point and slope make this ...

  y -6 = -5(x -2)

  y -6 = -5x +10 . . . . . . eliminate parentheses

  5x +y = 16 . . . . . . . . . add 5x+6 to both sides; your standard form equation

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3. Try It #3 Write the point-slope form of an equation of a line with a slope of -2 that passes through the point (-2,2). Then r
vova2212 [387]

Answer:

Point-slope form of equation given as $y-2=-2(x+2)$.

Slope-intercept form of equation is given as $y=-2 x-2$.

Step-by-step explanation:

In the question, it is given that the slope of a line is -2 and it passes from (-2,2).

It is asked to write the point-slope form of the equation and rewrite it as slope-intercept form.

To do so, first find the values which are given in the question and put it in the formula of point-slope form. Simplify the equation to rewrite as slope-intercept form.

Step 1 of 2

Passing point of the line is (-2,2).

Hence, $x_{1}=-2$ and

$$y_{1}=2 \text {. }$$

Also, the slope of the line is -2.

Hence, m=-2

Substitute the above values in point-slope form of equation given by $y-y_{1}=m\left(x-x_{1}\right)$

$$\begin{aligned}&y-y_{1}=m\left(x-x_{1}\right) \\&y-2=-2(x-(-2) \\&y-2=-2(x+2)\end{aligned}$$

Hence, point-slope form of equation given as y-2=-2(x+2).

Step 2 of 2

Solve y-2=-2(x+2) to write it as slope-intercept form given by y=mx+c.

$$\begin{aligned}&y-2=-2(x+2) \\&y-2=-2 x-4 \\&y=-2 x-4+2 \\&y=-2 x-2\end{aligned}$$

Hence, slope-intercept form of equation is given as y=-2x-2.

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Answer:The second answer there are 3 kids and one adult and the ratio would be 3:1 .

Step-by-step explanation:

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Answer:

Step-by-step explanation:

Carter rode his bike 9/10 of a mile from his house to his grandmothers house. This means that the distance from Carter's house to his grandmother's house is 0.9 miles. On his way back home, he rode 3/8 of a mile before the tyre on his bike went flat. This means that he rode 0.375 miles before his tyre went flat. The distance he must walk before he gets home will be the total distance from home minus the distance that he rode. It becomes

0.9 - 0.375 = 0.575 miles

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Answer:

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