Question

1.) What is slope and how is it determined from an graph?

2.) How do you determine the intercepts from an equation or graph?
3.) How can linear equations and functions be written and graphed?

Answer 1

1) Slope tell about the steepness of the line.

To find slope we look at the rise and run between 2 points.

attached the graph of line with slope

slope =
`(change in y values ( rise))/(change in x value (run))`

=
`(2)/(1)`

So slope = 2

2) we have x and y intercepts

x intercept is the point where the line crosses x axis

x intercept at x= 3

y intercept is the point where the line crosses y axis

y intercept at y= 6

3) Linear equation is y= 3x+2

function is f(x) = 3x+2

We can graph it using slope and y intercept

In f(x)= 3x + 2 , slope =3 and y intercept = 2

slope = 3, rise = 3 and run =1

The graph of f(x)= 3x+2 is attached below.