linear function

linear function

By Julynda Pascua

Multiple Choice

Choose which graph is a function from the picture shown.

• My choice is a

• b is my choice

• c is my choice

• a and b

• all of them

​Other Forms of Linear Functions

​General Form: ax + by = c

Gradient-intercept Form: y = mx + c​

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i​Rearrange the following equations into (a) General Form (b) Gradient - Intercept Form

1. 2y = x - 4​

2. x+ 3y - 6 = 0 ​

Engagement Task​ ( 3 minutes )

Please check the teams chat for the link to your engagement task.

https://myschool.dchigh-suzhou.cn/mod/quiz/attempt.php?attempt=37591​

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Gradient and intercept

​Gradient = measures the steepness of a line

In y=mx+c , m=gradient, c is the y-intercept

In ax+by=d, m = -a/b. , c = d/b​

Some text here about the topic of discussion

y-intercept = the y-coordinate of the point of intersection of the line and the y-axis.

Multiple Choice

Find the gradient of the line y = 5-3x.

• 3x

• -3

• -3x

• 5

Multiple Choice

Find the gradient of 3x+2y=6

• 3x

• 3

• -3/2

• -2/3

Multiple Choice

What is the y-intercept of y=2x+9

• 2

• 9

Multiple Choice

What is the y-intercept of 3x+2y=6?

• 3

• 6

• 2

• -2

Graph of Linear Functions

Draw

Sketch: (i) y=3x-1 (ii) y=3x+2 (iii) y=-x/3+1 (iv) y=-x/3-1

Open Ended

Find the equation of. a line which is parallel to the line y=2x-3 and it crosses the y-axis at (0,4).

Open Ended

A line, L, is perpendicular to $$y=-\frac{1}{4}x+7$$  . It passes through the point (0,-3). What is the equation of line L?

Linear Inequalities

​

Some text here about the topic of discussion

Represents a region in space

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Linear Inequalities

Write down the inequalities that represent the unshaded region

Draw

Write down the inequalities to represent the unshaded region

Linear Inequalities

Draw

Sketch: 2x-y=1 and 3x-2y=2

Poll

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