Question

Identify the slope (m) and y-intercept (b) of the graph of each equation y=1/2x-7

Answer 1

For this case we have that by definition, the equation of a line in the slope-intersection form is given by:

$y = mx + b$

Where:

m: It's the slope

b: It is the cut-off point with the y axis

We have the following equation:

$y = \frac {1} {2} x-7$

So:

$m = \frac {1} {2}$, the slope is positive

$b = -7$

For the graph, we place the point on the coordinate axis:

$(x, y) :( 0, -7)\\(x, y) :( 1, - \frac {13} {2})$

We draw the line!

The graphic is attached.

ANswer:

$m = \frac {1} {2}$, the slope is positive

$b = -7$