16

Linear function

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Slope of a line shows howsteep a straight line is.

Divide the change inheight by the changein horizontal distance.

The slope of a

line is =3

3= 1

So the slope of this line is 1.

Slope=4

2= 2

The line issteeper, and so theGradient is larger.

Slope=3

5= 0.6

The line is lesssteep, and so theGradient is smaller.

•Starting from the left end of the

line and going across to the right is

positive (but going across to the left

is negative).

•Up is positive, and down is

negative

That line goes down asyou move along, so ithas a negative slope.

Slope

Slope =3

0= 𝑢𝑛𝑑𝑒𝑓𝑖𝑛𝑒𝑑

This one is a little bittricky ... youcan't divide by zero,so a "straight up anddown" (Vertical) line'sslope is "undefined".

Sometimes thehorizontal change iscalled "run", and thevertical change iscalled "rise" or"fall“.

If the slope is positive, the line is increasing.

If the slope is negative, the line is decreasing.

Horizontal lines have a slope of zero.

Vertical lines have an undefined slope. These are not functions.

Parallel lines have equal slope.

Perpendicular lines have slopes which are

reciprocal of each other.

Activity Title: Slope of a Straight Line

Type of Activity: Seatwork

Learning Target: To determine the x-and y-intercepts, the slope, on the graph and the trend of the function.

Reference: Next Century Mathematics by Zenaida B. Diaz, et. Al pp 248-265

If the slope is positive, the line is increasing.

If the slope is negative, the line is decreasing.

Horizontal lines have a slope of zero.

Vertical lines have an undefined slope. These are not functions.

Parallel lines have equal slope.

Perpendicular lines have slopes which are reciprocal of each other.

y-intercept is the value of y when x=0.

x-intercept is the value of x when y=0.

SEATWORK

Answer Mental Math nos. 1-10

pg 262-265

NOTE: No need to determinethe three points that passesthrough the line.