Step-by-step explanation:
in such cases you need to identify and mark at least 2 points in the coordinate grid and then draw a line through them.
how to find 2 points ? by simply picking 2 values for x and then use the equation to calculate the corresponding y.
I start in such cases usually with x = 0.
the equation terms is that
y = -1/2×0 + 7 = 7
so, our first point is (0, 7).
that means it is on the y-axis itself (again, x=0) up there at the "7" mark.
for a second point I would pick a value for x that allows me to deal with integer numbers in the equation (that gets rid of the -1/2 fraction).
so, because of the -1/2 nature, I would pick an even number like 4 or 6.
so, let's use 6.
y = -1/2×6 + 7 = -3 + 7 = 4.
our second point is therefore (6, 4).
follow on the x-axis to the right until the "6" mark, and then go up 4 units. there you mark the point.
that is how coordinates work.
and now you take a ruler and you draw a line through both points (not just connect the 2 points, but really extend that line in both directions to the edges of the coordinate grid).
