How do you find the slope and y intercept of $- 12 x + 3 y = - 60$ $-12x+3y=-60$ ?

Question

How do you find the slope and y intercept of $- 12 x + 3 y = - 60$ $-12x+3y=-60$ ?

1 Answer

Impact of this question

3069 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-09-29T10:41:31

Slope: $4$ $4$
y-intercept: $- 20$ $-20$

Explanation:

Method 1
For a linear equation in standard form: $A x + B y = C$ $Ax+By=C$
$XXX$ $color(white)("XXX")$ the slope is $m = - \frac{A}{B}$ $m=-A/B$
In this case $A = - 12$ $A=-12$ and $B = 3$ $B=3$
$XXX$ $color(white)("XXX")$ so the slope is $m = - \frac{- 12}{3} = 4$ $m=-(-12)/3 = 4$

The y-intercept is the value of $y$ $y$ when $x = 0$ $x=0$
Replacing $x$ $x$ with $0$ $0$ in the original equation:
$XXX - 12 (0) + 3 y = - 60$ $color(white)("XXX")-12(0)+3y =-60$
$\to XXX 3 = - 20$ $rarrcolor(white)("XXX")3=-20$

Method 2
Alternately, you could rearrange the expression into "slope-intercept form: $y = m x + b$ $y=mx+b$
(with slope $= m$ $=m$ and y-intercept $= b$ $=b$ )

Given
$XXX - 12 x + 3 y = - 160$ $color(white)("XXX")-12x+3y=-160$
Add $12 x$ $12x$ to both sides
$XXX 3 y = 12 x - 60$ $color(white)("XXX")3y= 12x-60$
Divide by $3$ $3$
$XXX y = 4 x - 20$ $color(white)("XXX")y=4x-20$
$XXXXX (= 4 x + (- 20))$ $color(white)("XXXXX") (=4x+(-20))$
which is "slope-intercept form"
with slope $m = 4$ $m=4$ and y-intercept $= - 20$ $=-20$

Science

Math

Humanities

... and beyond

How do you find the slope and y intercept of $- 12 x + 3 y = - 60$ $-12x+3y=-60$ ?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

How do you find the slope and y intercept of -12x+3y=-60−12x+3y=−60-12x+3y=-60?

1 Answer

Explanation:

Related questions

Impact of this question

How do you find the slope and y intercept of $- 12 x + 3 y = - 60$ $-12x+3y=-60$ ?