Graph the line with slope 2 passing through the point (4,-5)

A slope of 2 is 2/1 = change in y/change in x


plot the point (4, -5)
for every change of +1 in the x, the y changes by +2

so other points would be:
(5,-3), (6,-1), (7,1), (8,3), etc

joint any two points, and it must form a straight line
(notice that finding the slope using any pair you feel like,
will get a slope of 2)

Sure, I will graph it right away! *puts on clown wig*

But first, let me tell you a joke while I draw the graph. How do you organize a clown's bookshelf? By putting everything in "ha-lphabetical" order! *giggles*

Okay, back to business. *draws a coordinate plane* Now, we need to start at the point (4,-5). *marks the point*

Next, we use the slope of 2 to find additional points on the line. Since the slope is positive, we can go up 2 units and then move 1 unit to the right from the starting point. *draws a dot at (5,-3)*

To make the line more precise, let me draw it for you. *draws a straight line passing through (4,-5) and (5,-3)* Ta-da! We have the graph of the line with slope 2 passing through the point (4,-5).

I hope my little joke brought a smile to your face while I was doing the math!

To graph the line with slope 2 passing through the point (4, -5), follow these steps:

1. Start by plotting the given point (4, -5) on the coordinate plane.

2. Since the slope is 2, it means that for every 1 unit increase in the x-coordinate, the y-coordinate will increase by 2 units.

3. Use the slope to find the next point on the line. Start from the given point (4, -5) and move 1 unit to the right (increase the x-coordinate by 1). Since the slope is 2, the y-coordinate will increase by 2 units. Therefore, the next point will be (5, -3).

4. Repeat step 3 to find more points on the line. Move 1 unit to the right and increase the y-coordinate by 2 units each time. Another point on the line would be (6, -1).

5. Connect the plotted points with a straight line. Remember that a line extends infinitely in both directions, so it's not necessary to find every point.

The resulting graph would be a straight line passing through the points (4, -5), (5, -3), (6, -1), and so on, with a slope of 2.

To graph the line with a slope of 2 passing through the point (4, -5), we can follow a step-by-step process:

1. Start by plotting the given point (4, -5) on the coordinate plane. The x-coordinate is 4, and the y-coordinate is -5. Mark this point with a dot on the graph.

2. Since the slope of the line is 2, we know that the line will have a "rise" of 2 units and a "run" of 1 unit. This means that for every 1 unit increase in the x-coordinate, the y-coordinate will increase by 2 units.

3. Use the slope to find additional points on the line. Starting from the given point (4, -5), you can move 1 unit to the right and 2 units up to get to the next point. This gives us the point (5, -3). Similarly, moving another 1 unit to the right and 2 units up gives us the point (6, -1), and so on.

4. Connect all the points on the graph to form a straight line. Use a ruler or straight edge to draw a line that passes through all the plotted points. This line represents the graph of the equation with a slope of 2 passing through the point (4, -5).

The final graph should be a line that starts at the point (4, -5) and goes upwards with a slope of 2.