aka Y= -3/1x + 5
f(x) = -3x + 10
Substitute values to find b;
Replace X and Y
Swap sides to set equal to b. Swapping causes sign change
Since we have the values of one point and the slope, we can graph that point and then, by using the slope, graph another point, and then have our line.
The first step is to draw (5, -4) on the coordinate plane. Now we can use the slope to help us figure out a second point.
The slope -3 says that for every -3 that we go up (for every 3 we go down), we go 1 to the right. So, we can subtract 3 from the y coordinate of our point (go down 3), and we can also add one to the x coordinate of our point (right 1).
This gives us our next point of (6, -7). Since we have to points, we can draw a line. The graph looks like:
Graph a line given a point and a slope
Plot the given point.
Use the slope formula to identify the rise and the run.
Starting at the given point, count out the rise and run to mark the second point.
Connect the points with a line.
Start with your pencil point on (-1, 2). Since the slope is m = -3/1, move your pencil point 1 unit to the right and 3 units down. Plot a new point there. It will be (0, -5).
Now draw a straight line through these two points, and you'll be done.
Using slope and one point method, the equation of a line become
y= -3x -6
we know that,
or 3x+y-16=0 is the required equation
In terms of rise over run, that means when we subtract 3 from y we add 1 to x.
So plot (1, 3), then go down 3 and over 1 and plot that point.
Make a line between them and you're done.