Drawing Straight line graphs without a table of values grade 7 I am a a student and I am having difficulty with answering this question. I keep getting the answer wrong. Please may I have a step-by-step solution to this question so that I won't have difficulties with answering these type of questions in the future.
Draw the straight line: $y = -x + 2$.
Without using a table of values.
Thank you and help would be appreciated
 A: Another way to do this is to inspect the equation to determine the slope, $m$, and $y-$intercept, $b$: $$y=mx+b$$
Comparing this to your equation (and rewriting slightly):
$$y=(-1)x+2$$
By inspection, the slope is $-1$ and the $y-$intercept is $2$.  A slope of $-1$ means that you go down one square for each square you go to the right.
So start at the $y-$intercept $(0,2)$ and draw a line that goes northwest to southeast (slope $-1$).
A: A modest answer.
Here is a way to explain equations of straight line at $\approx$ 7th grade.
The points on the graphics below look aligned. Could you find a common property to all the displayed coordinates $(x,y)$ ? Sooner or later, one finds $x+y=2$ (btw, simpler to catch than $y=-x+2$). Let us understand why all that. A reason is that if I increase $x$ by one, I have to decrease $y$ by one in order to preserve the common property $x+y=2$, or I can increase $x$ by 2 and decrease $y$ by 2, inviting your audience to follow the moving point with a finger. This way helps in capitalizing basic linearity concepts with a natural correspondence betwen an algebraic property and a geometric property. In particular, the slope concept has been gently introduced. Then we can switch to other examples... 
Back to your problem, assume you are given a straight line with  equation $2x+3y=6$, that is due to cut the axes, if you do for example $y=0$ (imposing thus  $2x=6$, meaning $x=3$), then you have the point $(x=3,y=0)$ which is the unique point of interection with the $x$-axis. One can do the same for $y$-axis of course.

A: Well, what you can do is take any two points on the line, and draw a straight line right through them as follows:
Substitute any two different values of $x$ into your equation:
$$y=-x+2$$
And evaluate the corresponding values of $y$.
From this, plot the two coordinates $(x,y)$ on a graph and draw a straight line through these two points.
