Graph the line with the given point and slope.

Question

The line through ​(-2​, 1​) with slope 4/5

Answer 1

To graph the line, we start by plotting the given point (-2, 1) on the coordinate plane.

Next, we use the slope to find another point on the line. The slope is given as 4/5, which means that for every 5 units we move horizontally to the right, we need to move 4 units vertically up.

Starting from the point (-2, 1), we can count 5 units to the right and 4 units up to find another point on the line.

From (-2, 1), we move 5 units to the right and arrive at a new point (3, 1+4) or (3, 5).

Now we have two points on the line: (-2, 1) and (3, 5).

Using these two points, we can draw a straight line passing through them.

Here is the graph of the line: