(6,9), (4,3) this is question 12 in algebra 1 sec. 4.4?

Question

Describing slope plot the points and draw a line through them. Without calculating, state whether the slope of the line is positive, negativ, zero or undefined, explain your resoning

Answer 1

Plot the points
(6,9) is 6 units to the right and 9 units up
(4,3) is 4 units to the right and 3 units up
Connect the points.
If the line goes up as you move to the right, then the slope is positive.
If the line goes down as you move to the right, then the slope is negative.
If the line is horizontal, then the slope is zero (the y-coordinates will be the same).
If the line is vertical, then the slope is undefined (the x-coordinates will be the same).

Answer 2

Assuming you are talking about the line that goes through the points (6,9), (4,3), then with out calculating it explicitly you can see that the slope is positive as 9>3 and 6>4.

To check you can calculate the slope:
(9-3)/(6-4)=6/2=3

Answer 3

Visually start from the left side of the line and scan over the line until you're on the right side of it to determine if the line is sloping upwards (+ slope) or sloping downwards ( - slope). A vertical line has an undefined slope and the slope of a horizontal line is 0 because all of the values of X is constant.

Answer 4

y=mx+b is the basic equasion.

slope (m) = change in y over change in x.
(3-9)/(4-6)= 6/2= 3

Put 3 in for M, then put in the x and y point.

3=3(4)=b
3=12+b
-9=b

so: y=3x-9.

slope is +, because 3 is positive.

Use graph paper for the line. Y intercept is -9, so go down 9. Then y=3x, so for every one over for x, go up three for y. Keep doing that.

Answer 5

the slope is pos because both the x and y coordinates have increased

edited because i didnt realize they werent in order

Answer 6

m = (y2 - y1) / (x2 - x1)

m = (9 - 3) / (6 - 4)

m = 6/2

m = 3

The slope is positive 3 (+3).