How do you write an equation with slope -2 that passes through the point (1, 5) ?

Question

How do you write an equation with slope -2 that passes through the point (1, 5) ?

2 Answers

Impact of this question

6491 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-10-03T15:32:32

$(y - 5) = (- 2) (x - 1)$ $(y-5)=(-2)(x-1)$ (point-slope form), or
$y = - 2 x + 7$ $y=-2x+7$ $XXXXXX$ $color(white)("XXXXXX")$ (slope-intercept form), or
$2 x + y = 7$ $2x+y=7$ $XXXXXXXX$ $color(white)("XXXXXXXX")$ (standard form)

Explanation:

Point-slope form of a line with slope $m$ $m$ through the point $(ˆ x, ˆ y)$ $(hatx,haty)$ is
$XXX (y - ˆ y) = m (x - ˆ x)$ $color(white)("XXX")(y-haty)=m(x-hatx)$

For the given values:
$XXX (y - 5) = (- 2) (x - 1)$ $color(white)("XXX")(y-5)=(-2)(x-1)$

This can be converted to other forms:
$XXX$ $color(white)("XXX")$ slope-intercept form: $y = m x + b$ $y = mx+b$
$XXXXXX (y - 5) = (- 2) (x - 1)$ $color(white)("XXXXXX")(y-5)=(-2)(x-1)$
$XXXXXX$ $color(white)("XXXXXX")$ becomes $y = - 2 x + 7$ $y = -2x+7$
or
$XXX$ $color(white)("XXX")$ standard form: $A x + B y = C$ $Ax+By=C$
$XXXXXX 2 x + y = 7$ $color(white)("XXXXXX")2x+y=7$

Answer 2 · 2015-10-03T15:35:44

$y = - 2 x + 7$ $y=-2x+7$

Explanation:

Use the formula $y - y_{1} = m (x - x_{1})$ $y-y_1=m(x-x_1)$

Your slope is $m$ $m$ , so just subsitute $- 2$ $-2$ into the equation, which gets you

$y - y_{1} = - 2 (x - x_{1})$ $y-y_1=-2(x-x_1)$

Get your two points that you already have and substitute them into the equation, then expand the brackets to get your final answer.

$y - 5 = - 2 (x - 1)$ $y-5=-2(x-1)$
$\Rightarrow$ $rArr$ $y - 5 = - 2 x + 2$ $y-5=-2x+2$
$\Rightarrow$ $rArr$ $y = - 2 x + 7$ $y=-2x+7$

Science

Math

Humanities

... and beyond

How do you write an equation with slope -2 that passes through the point (1, 5) ?

2 Answers

Explanation:

Explanation:

Related questions

Impact of this question