When we read this question, we see an urgent red flag.
First the answer, then we'll explain the red flag.
Answer:
Draw 'x' and 'y' axes, with some numbers on them and all of that.
Find any two points where [ y = -4 ]. Mark each point with a little dot.
Lay your ruler down between the two dots and draw a line.
The line is part of the graph of the linear equation [ y = -4 ].
If the line isn't horizontal, there's been a mistake somewhere.
(It's not the whole graph, because the whole line never ends ... it just goes
out to infinity in both directions, left and right. But wherever it goes, you can
guarantee one thing: For every single point on the whole infinite line, no matter
what 'x' may be, 'y' is always -4 .)
The reason for the alarm that sounded in our office when we read this question is:
If you posted the question here on WA just to tweak us and see whether we
know what we're doing, than that's OK. But if you posted this question because
you have to do it for class or for homework, then you don't need the answer ...
you need some help in the subject. Ask your teacher for some time when you
can get together and go over some stuff, so you understand it better. Please.
4
It is a linear equation. The highest power of x in the equation is 1 (3x1-4=12) so its "degree" is 1, and equations of "degree 1" are called linear equations.
if 2y-x=4, than y=1/2*x+2 we can now see that the graph is linear with slope 1/2 and goes through point (0,2)
y=x+4
Yes it is. The solution is: y=4 .
-4
-2x=2y-4 2x-y=-5 Answer=(-1,3)
Yes, a linear equation in t.
4
It is a linear equation. The highest power of x in the equation is 1 (3x1-4=12) so its "degree" is 1, and equations of "degree 1" are called linear equations.
if 2y-x=4, than y=1/2*x+2 we can now see that the graph is linear with slope 1/2 and goes through point (0,2)
y=x+4
Yes it is. The solution is: y=4 .
2y-3x=4
yes because linear means straight line and that equation is a perfect horizontal line.
A linear equation is similar to a linear graph in that key data from the equation is clearly visible on the graph. A linear equation of y = 4x + 5 shows us that the y-intercept (or "b") is +5. This is where our line crosses the y-axis, and provides us with the information that the point (0, 5) exists on our line, making it the easiest point to draw on our graph every time! The equation also shows us that there is a slope (or "m") of 4. This means we must do the long-form of slope, which is "rise over run" or "change in y, divided by change in x". A slope of 4 is written as 4/1, or "four over one", showing we 'rise' 4 units on our graph, and 'run' 1 unit...clearly showing a slope of 4.
A linear equation is the equation of a line and that consists of an infnite number of points. What you have, in x = -4 and y = -1/3, is a single point. A single point is not a line and so there cannot be a linear equation (suitable for a line) to represent a point.