Question

How do you graph `y =-3/7x-1/7` using the slope and intercept?

Answer 1

graph{-3/7x - 1/7 [-10, 10, -5, 5]}

Explanation:

In this equation the `-1/7` is the `y`-intercept. since when `x = 0` `y = 1/7`, so plot a point at `(0,1/7)`.

The coefficient of `x` is the gradient / slope of the line, in this case the gradient is `-3/7`, to plot a second point on the graph move along the `x`-axis by `3` then go along the `y`-axis by `-7`, the negative means go down on the `y`-axis. So plot a point at `(3,-7)`.

Now that we have a point at `(0,1/7)` and `(3,-7)`, connect the points drawing a straight line.