Question

How do you graph `y=-2x+7` by plotting points?

Answer 1

This is the equation of a straight line of the form `y = mx + c`
Here,

`m` is the slope of the straight line and `c` is the intercept the line makes on the y axis.

Comparing the given equation `y = -2x + 7` with `y = mx + c`,
we understand the following:

The line intersects with the y axis at (0,7).

Now we substitute `y = 0` and solve the equation,
`0 = -2x + 7`

or `2x = 7`

or `x = 7/2`

Hence, the line passes through the point `(7/2 , 0)`
If the two points `(7/2 , 0)` and `(0,7)` are joined, the required line is obtained.