2007-03-07 10:05:46 · 11 answers · asked by Trish 3 in Education & Reference ➔ Homework Help
To find the slope and the y-intercept of a line, the first step is to make sure that the equation of the line is presented in "standard" form.
What's standard form? y = mx +b
Your problem, as presented, is not in standard form, so the first step is to move the numbers around a bit, and get it that way.
6x - 2y = 14 becomes
6x - 14 = 2y
which is, of course, equivalent to
2y = 6x - 14
Notice that we're still not in standard form - the standard form of a line describes the line in terms of y, and we're looking at an equation of 2y. Let's solve that by dividing everything by 2:
y = 3x - 7
There's our standard form - now that we're here, finding the slope and y intercept is easy. In the equation y = mx + b, the m is the slope and the b is the y-intercept.
For our equation of y = 3x - 7, the slope is 3 (see?) and the y-intercept is -7.
How do we know that the y-intercept is NEGATIVE seven? The y-intercept of a line is the point at which the line would cross the y axis if x was zero. If we set x equal to 0 in the equation of the line, we would get y = -7.
P.S. : There's nothing more consistently amusing than the self-appointed Yahoo! Answers police, who lurk through this section, telling everyone who asks a question to "DO YOUR OWN HOMEWORK!!". Check the topic of this section folks - it's called HOMEWORK HELP. Gee, I wonder why anyone would post a question in a topic called homework help. Hmmm...
2007-03-07 10:13:33 · answer #1 · answered by NotAnyoneYouKnow 7 · 1⤊ 0⤋
Wow it somewhat is relatively elementary! The y intercept is clearly -7 because of the fact you're making x 0 which leaves -2y=14; remedy for y. to discover the slope you isolate y it somewhat is then y=3x-7 so slope is 3!
2016-12-18 17:33:04 · answer #2 · answered by inkeles 3 · 0⤊ 0⤋
6x-2y=14
-2y=14-6x
divide by -2
y= -7+3x
3 is the slope
-7 is the y intercept
2007-03-07 10:08:08 · answer #3 · answered by xxbabiesue123xx 2 · 1⤊ 0⤋
you need to put it into slope intercept form, by solving fot y
so it would be
6x-2y=14
-2y=-6x+14
y=3x-7
slope intercept form is y=mx + b
m is slope and b is y intercept, so 3 is your slope and -7 is your y intercept
2007-03-07 10:10:47 · answer #4 · answered by hello there 2 · 1⤊ 0⤋
subtract 6x and divide by negative 2 you get y=3x-7
so the slope is 3 and the y intercept is -7
2007-03-07 10:09:14 · answer #5 · answered by ****Lily**** 2 · 1⤊ 0⤋
slope = m in form y=mx + b ---> convert to this form
6x - 2y = 14
6x - 2y - 6x = 14 - 6x
-2y = 14 - 6x
-2y / -2 = (14 - 6x) / -2
y = (14 - 6x) / -2
y = -7 + 3x
y = 3x + -7 or y = 3x -7
m = 3 - refer to equation at top
2007-03-07 10:19:37 · answer #6 · answered by SusanB 5 · 0⤊ 0⤋
6x-2y=14
-2y=14-6x
y=-7+3x
so.. slope is 3, y int is -7 or (0, -7)
2007-03-07 10:09:17 · answer #7 · answered by Anonymous · 1⤊ 0⤋
By setting x to 0, you'll get a y-intercept = -7
y=mx + b
m=slope
slope = 3
2007-03-07 10:07:59 · answer #8 · answered by LGT 3 · 1⤊ 0⤋
slope is 3 and y-int is -7
2007-03-07 10:08:14 · answer #9 · answered by F1reflyfan 4 · 1⤊ 0⤋
slope is 3 and y-inter. is 7.
2007-03-07 10:15:01 · answer #10 · answered by Cool_chic 2 · 0⤊ 1⤋