eqn w/ m=-7 thru (5,9); eqn w/ m=3/4 thru (7,-8); graph of line thru (2, -2) w/ m=-2/

[Jamiex]

1. Find an equation of the line having the slope m = -7 and containing the point (5, 9).

2. Find an equation of the line having the slope m = 3/4 and containing the point (7, -8).

3. The yearly production of a particular 4-foot plant is 26 pounds of fruits. A 12-foot plant produces 86 pounds. Let h represent the height of this particular plant and p the number of pounds of fruits produced. (a) List the ordered pairs (h, p).

4. Graph the line passing through the point (2, -2) and having slope m = -2/5. Give the slope-intercept form of the line.

 

[ksdhart2]

Okay, so you know the equation for the slope-intercept form is y = mx + b. The problem gives you m, the slope. So now all that's left is to find b, the y-intercept. You're told the line passes through the point (5,9). Based on the given slope, if you take that point, and move down 1 unit on the x-axis, what must the corresponding y-value be? In other words, to have the given slope, the line must pass through the point (4, ?). Similarly, the line must also pass through the point (3,?). Are you seeing a pattern here? Use that pattern to find the y-intercept.

As a hint, you might consider that the "formula" for slope is rise over run, or (change in y) over (change in x). To make it easiest, you might try letting the change in x ("run") be 1, and see where that leads you.

 

[stapel]

1. Find an equation of the line having the slope m = -7 and containing the point (5, 9).

2. Find an equation of the line having the slope m = 3/4 and containing the point (7, -8).

3. The yearly production of a particular 4-foot plant is 26 pounds of fruits. A 12-foot plant produces 86 pounds. Let h represent the height of this particular plant and p the number of pounds of fruits produced. (a) List the ordered pairs (h, p).

4. Graph the line passing through the point (2, -2) and having slope m = -2/5. Give the slope-intercept form of the line.

Since you've shown no work, I'll guess that you have no knowledge of how to proceed. So:

1. how to find straight-line equations

2. (same as for (1).)

3. They've defined the variables and defined the ordered pairs. They've given you two sets of values that plug into these definitions. Plug the given numbers into the given variables in the given order. (I suspect that there's more to this exercise, but it isn't displaying.) If you don't remember plotting points, try here.

4. how to graph from slope and y-intercept (but you can use the same method to graph from the slope and any point)

If you need further lessons, please let us know the topics. Thank you!