Don't understand what they want for a answer.
Given the equation of a nonvertical line, explain how to find the slope without finding two points on the line.
depends on the equations, if eg, y=2x+3, slope is 2.
There is no equation. Just this question. Don't understand what they want.
The equation of a non-vertical line can be written in several forms.
The form that appears to be most common is
y = mx + b
If written in that form, the slope is m
e.g. for y = (2/3)x + 5 , the slope is 2/3. I did not find any points
If the equation is written in the form
Ax + By= C , the slope is - A/B
e.g.. for 5x + 8y = 11
the slope is -5/8
for 4x - 9y = 33, the slope is 4/9
To find the slope of a nonvertical line without finding two points on the line, you can use the slope-intercept form of the equation of a line, which is written as y = mx + b. Here, m represents the slope of the line.
1. Start with the given equation of the line in the standard form, which is written as Ax + By = C, where A, B, and C are constants.
2. Rearrange the equation into slope-intercept form y = mx + b by isolating y on one side of the equation. This can be done by subtracting Ax from both sides and then dividing the resulting equation by B. The resulting equation will be in the form y = (-A/B)x + C/B.
3. Now, compare the equation with the slope-intercept form y = mx + b. The coefficient of x, which is (-A/B), represents the slope (m) of the line.
Therefore, by following these steps, you can determine the slope of a nonvertical line without finding two points on the line, using the given equation.