Q:

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 $-1$).

