Express it in slope Enter the corre
000
Clear all
-8
8
In slope-intercept form

In this question, we are given two points, (0,0) and (-8,8), and we want to find the equation of the line in slope-intercept formula.

Slope-intercept formula:

The equation of a line, in slope-intercept formula, is given by:

In which m is the slope and b is the y-intercept(value of y when x = 0)[/tex]

Point (0,0):

This means that when , and thus, the y-intercept is , and the equation of the line is:

Slope:

When we have two points, the slope is given by the change in y divided by the change in x.

In this question, the two points are (0,0) and (-8,8).

Change in x: -8 - 0 = -8

Change in y: 8 - 0 = 8

Slope:

Thus, the equation of the line, in slope-intercept formula, is:

For another example of an equation of a line in slope-intercept formula, you can check

The equation of the line that passes through and is .

According to the statement, we know the location of two Points: and , and must derive the Equation of the Line from this information, whose procedure is described below:

1) Determine the Slope of the line by the Slope Equation for Secant Lines.

2) Use () in the Equation of the Line and solve for the Intercept.

3) Write the resulting Equation of the Line.

Step 1:

The slope of a secant line () is calculated from the following formula:

(1)

If we know that and , then the slope of the line is:

Step 2:

The equation of the line is Slope-Intercept Form is now represented:

(2)

Where:

- Independent variable.

- Dependent variable.

- Intercept.

If we know that and , then the intercept of the equation of the line is:

Step 3:

And the equation of the line that passes through and is .

Related question:

the diameter is 16 cm. are you a teacher?

step-by-step explanation:

sites: