Mathematics
13 Online
OpenStudy (anonymous):
What is the slope of a line parallel to 10x - 5y = 8?
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (anonymous):
get y by its self first
OpenStudy (anonymous):
Convert it to slope-intercept form.
OpenStudy (anonymous):
10x - 5y = 8
Subtract 10x to both sides, can you do that?
OpenStudy (anonymous):
yes
OpenStudy (anonymous):
so then it will be -5x=-10x+8
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (anonymous):
10x-5y=8
-10x -10x
-5y=-10x+8
divide by -5
y= -10x + -8/5
OpenStudy (anonymous):
then x=2x+8 right?
OpenStudy (anonymous):
did the question ask for X?
OpenStudy (anonymous):
Correct!
But we have:
y = 2x + 8/-5
OpenStudy (anonymous):
because y intercept form
y=mx+b
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (anonymous):
You accidentally put 'x' in the beginning.
OpenStudy (anonymous):
So now it's in slope-intercept form.
y = mx + b
Where 'm' is the slope.
So what's the slope here? @kylefoster58
OpenStudy (anonymous):
y do we have a 2x?
OpenStudy (anonymous):
We divided -5 to both sides.
OpenStudy (anonymous):
cause 5 goes into 10 2 times
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (anonymous):
ok i get it
OpenStudy (anonymous):
-5y = -10x + 8
That's every term on both sides.
-5y/-5 = -10/-5x + 8/-5
y = 2x + -8/5
OpenStudy (anonymous):
Yep, so what's the slope of y = 2x - 8/5?
OpenStudy (anonymous):
so the answer is -5 right?
OpenStudy (anonymous):
no
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (anonymous):
No
OpenStudy (anonymous):
is it 2?
OpenStudy (anonymous):
what does m stamd for
OpenStudy (anonymous):
Yep
OpenStudy (anonymous):
2 is our slope..and parallel lines have the same slope, so that's ou ranswer.
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (anonymous):
*our answer
OpenStudy (anonymous):
just positive 2 right?
OpenStudy (anonymous):
just remember always get y by its self
OpenStudy (anonymous):
yes
OpenStudy (anonymous):
\(\sf y = \color{red}mx + b\)
\(\sf y = \color{red}2x - \dfrac{8}{5}\)
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (anonymous):
Yep, positive 2.
OpenStudy (anonymous):
What is the slope of a line parallel to 4x + y = -1?