SOLUTION: 1: equation: x-4y=6 find x if y = 1/4 find y if x = -2 present the solutions as ordered pairs. 2: find the slop and the y-intercept of the line represented by the equation.

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Question 201352: 1: equation: x-4y=6
find x if y = 1/4
find y if x = -2
present the solutions as ordered pairs.

2: find the slop and the y-intercept of the line represented by the equation.
7x + y = 8
I am having trouble with these, could someone please help me. Thank you for the help! ;)
Answer by vleith(2983) (Show Source):
You can put this solution on YOUR website!
1) You are given the equation for a line.
Every point on a line is in the form (x , y).
You are given a y value and asked to find the x value that results in a point on the given line
So, Substitute the given value for y into the given equation and then solve for x

So one point is (7, 1/4)
Next you are given an x value and asked to find the y value that results in a point on the given line.

So another point is given by (-2, -2)
2)
You are asked to find the slope and the y intercept. One form of the equation for a line is called the slope/intercept form. It is in the form
where m is the slope and b is the y intercept. So all we need to do is transform the given equation into the slope intercept form

which is in the correct form
m=-7 (slope is -7)
b is 8. So the y intercept is the point (0,8)