Question

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

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 = $\frac{change in y values ( rise)}{change in x value (run)}$

= $\frac{2}{1}$

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.