SOLUTION: Son needs help and this is way beyond my comprehension. Find the slope and the y intercept of the graph of the linear equation. Y=3x-6 Y+5=-3/4x Y=7/9x-31/3

Algebra ->  Linear-equations -> SOLUTION: Son needs help and this is way beyond my comprehension. Find the slope and the y intercept of the graph of the linear equation. Y=3x-6 Y+5=-3/4x Y=7/9x-31/3      Log On


   

Question 1025037: Son needs help and this is way beyond my comprehension. Find the slope and the y intercept of the graph of the linear equation.
Y=3x-6
Y+5=-3/4x
Y=7/9x-31/3
Found 3 solutions by Alan3354, josgarithmetic, MathTherapy:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Find the slope and the y intercept of the graph of the linear equation.
Y=3x-6
---
The slope, m, is the coefficient of x when it's in this from.
The y-intercept, b, is the number -6.
--
Slope = 3
y-int = -6
-------------
Y+5=-3/4x
y = (-3/4)x - 5
m = -3/4
b = -5
------------
Y=7/9x-31/3
Y=(7/9)x-31/3
m = 7/9
b = -31/3

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
(Capitalization matters. Number symbolism is not the same as conventional written English.)

(Parentheses are often very useful to make expressions clear if written in pure text through computer & keyboard; or if using typewriter.)


Let me change what you listed.
y=3x-6
y+5=-(3/4)x
y=(7/9)x-31/3

system%28y=3x-6%2Cy%2B5=-%283%2F4%29x%2Cy=%287%2F9%29x-31%2F3%29

The first and the third are in slope intercept form, generally modeled as y=mx+b. The second is not in slope-intercept form, but appears to be in point-slope form.

An equation for a line written in slope-intercept form like y=mx+b will have slope m and y-intercept b. One needs to pay attention to signs used. If you have y=mx-b, then the y-intercept will be -b.

What about the second equation again? Realize that as written, it indicates one of the points of the line. Ignoring that, one can put the equation into slope-intercept form:
y%2B5=-%283%2F4%29x
y%2B5-5=-%283%2F4%29x-5
y%2B0=-%283%2F4%29x-5
y=-%283%2F4%29x-5----------the slope is -3%2F4 and y-intercept is -5.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Son needs help and this is way beyond my comprehension. Find the slope and the y intercept of the graph of the linear equation.
Y=3x-6
Y+5=-3/4x
Y=7/9x-31/3
Slope-intercept form of  a linear equation: y+=+mx+%2B+b, where:

m (coefficient on x) = slope

b = y-intercept



y = 3x - 6

y = mx + b

Therefore, m, or the slope = 3, and b, or y-intercept = - 6

All equations need to be in "y = mx + b" form to determine their slopes and y-intercepts. You should be able to do the rest!