Question

Find the slope given (0,3) and (4,0)

Answer 1

To find the slope of a line passing through two points, you can use the slope formula:

Slope (m) = (change in y) / (change in x)

Given the points (0, 3) and (4, 0):

Let (x1, y1) = (0, 3)

Let (x2, y2) = (4, 0)

Now, calculate the change in y and change in x:

Change in y = y2 - y1 = 0 - 3 = -3

Change in x = x2 - x1 = 4 - 0 = 4

Now, use the slope formula:

Slope (m) = (change in y) / (change in x) = -3 / 4

So, the slope of the line passing through the points (0, 3) and (4, 0) is -3/4.

Answer 2

The slope is -(3/4)

Explanation:

See the attached worksheet.

Slope is defined as the Rise/Run between two points on a line. The Rise is -3, since the line moves down as x goes from 0 to 4. The rise over that change in x is (0 - 3) = -3. The Run is the distance travelled on the x axis, or (4 - 0) = 4. The slope is Rise/Run, or -(3/4). The y-intercept is easy since point (0,3) tells us the value of b when x = 0. So the equation in slope intercept format of y=mx+b becomes: y = -(3/4)x + 3.

The attachment shows the results and calculations.