SOLUTION: New to this. I determine the slope of the line 4x-7y+19=0. I feel like I missed something. I solved the equation to get 19/7, and then got stuck. I then replaced x with -1 and 1 a

Algebra ->  Graphs -> SOLUTION: New to this. I determine the slope of the line 4x-7y+19=0. I feel like I missed something. I solved the equation to get 19/7, and then got stuck. I then replaced x with -1 and 1 a      Log On


   

Question 1047532: New to this. I determine the slope of the line 4x-7y+19=0.
I feel like I missed something. I solved the equation to get 19/7, and then got stuck. I then replaced x with -1 and 1 and I think I ended up with a slope of 0.57143 rounded. Am I right when I substitute x, I am changing the other side of the equation to reflect what x now is?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
In case you don't know how to take values directly from an equation to determine slope (for a line), try this: Find ANY two points of the line. Determine the ratio of vertical change to horizontal change. I would not really want to do that with this equation, but, if you want, you can find the axis intercepts, and use THEM to find slope.

x=0,
-7y=-19-4%2Ax
y=19%2F7%2B4%2Ax
y=19%2F7%2B4%2A0
y=19%2F7
-
This intercept is (0, 19/7).

y=0,
4x=19%2B7y
x=19%2F4%2B7y%2F4
x=19%2F4%2B7%2A0%2F4
This intercept is ( 19/4, 0)


WHAT IS THE SLOPE OF THE TWO POINTS?
%2819%2F7-0%29%2F%280-19%2F4%29---------to find ratio of vertical change to horizontal change;
%2819%2F7%29%2F%28-19%2F4%29
-%2819%2F7%29%2A%284%2F19%29
highlight%28-4%2F7%29-------------THE SLOPE


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HOW TO FIND SLOPE FROM THE STANDARD FORM EQUATION OF LINE

Your given equation is almost in standard form.
Ax%2BBy=C
By=-Ax%2BC
y=-%28A%2FB%29x%2BC%2FB----------This is now in SLOPE-INTERCEPT form, and the slope is shown directly here as -A%2FB.

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NOTE: Teacher probably showed how but too early for you to fully understand. Review lecture notes and review the book's discussion.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
New to this. I determine the slope of the line 4x-7y+19=0.
I feel like I missed something. I solved the equation to get 19/7, and then got stuck. I then replaced x with -1 and 1 and I think I ended up with a slope of 0.57143 rounded. Am I right when I substitute x, I am changing the other side of the equation to reflect what x now is? 
First, you did not state what you want to do.

If you're looking for the slope, you are correct. The slope is found by solving the equation for y, and when done, is: y+=+%284%2F7%29x+%2B+19%2F7.

From this you can see that the slope, or m, is: 4%2F7, which when divided gives you 0.57143 (your slope), and the y-intercept is: 19%2F7.

By the way, why are you substituting - 1 for x?