graphing a line through a given point with a given slope.

graph a line with slope -1 passing through the point(1, -3)

Thank you just do not understand sorry.

y = m x + b

put in slope m
y = -1 x + b
put in point y = -2 where x = 1
-3 = -1(1) + b
so
b = -2
so
y = -x -2

1st, plot the point (1,-3)

Now, a slope of -1 means that every time x changes by +1, y changes by -1.

Starting at the point (1,-3), move right 1 and down 1 to (2,-4) and plot that point.

Then draw a line through the two points.

And review the concept of slope...

on your graph mark the point where x = 1 and y = -3

from there go right one and down one (slope of -1) and mark a second point.

draw a line through those two points.

thank you very much

thank you

You are welcome.

No problem! I can help you with that.

To graph a line with a given slope passing through a given point, you can follow these steps:

Step 1: Plot the given point on a coordinate plane. In this case, the given point is (1, -3). This means the x-coordinate is 1 and the y-coordinate is -3.

Step 2: Use the given slope to find another point on the line. The slope of a line is defined as the change in y divided by the change in x. In this case, the slope is -1. This means that for every unit increase in x, the y-value decreases by 1.

So, to find another point on the line, you can either move 1 unit to the right (increase x by 1) and 1 unit down (decrease y by 1), or you can move 1 unit to the left (decrease x by 1) and 1 unit up (increase y by 1). Either way, you will end up with a point that lies on the line.

Step 3: Connect the two points you plotted to draw the line. The line will pass through both of these points and extend infinitely in both directions.

In this specific example, starting from the point (1, -3), if you move 1 unit to the right and 1 unit down, you will end up at the point (2, -4). So, another point on the line is (2, -4).

Now you can plot these two points and draw a line passing through them.