Question

4.
What is the slope of a line that is parallel to the line shown?




−3








Answer
5.
What is the slope of a line that is parallel to the line represented by the equation ?











Answer
6.
What is the slope of a line that is perpendicular to the line represented by the equation 3x + 4y = 12?
Answered by GPT 3.5
The slope of a line that is parallel to a given line is the same as the slope of the given line. Since the given line has a slope of -3, the slope of a line that is parallel to it would also be -3.
Answered by GPT 3.5
To find the slope of a line that is parallel to a given line, we need to look at the equation of the given line. However, you did not provide the equation of the line in question. Please provide the equation so we can find the slope of a line that is parallel to it.
Answered by GPT 3.5
To find the slope of a line perpendicular to a given line, we first need to find the slope of the given line.

The equation of the given line is 3x + 4y = 12. To find the slope of this line, we need to rewrite it in slope-intercept form which is y = mx + b, where y is the dependent variable, x is the independent variable, m is the slope and b is the y-intercept.

3x + 4y = 12
4y = -3x + 12
y = (-3/4)x + 3

Now we can see that the slope of the given line is -3/4.

The slope of a line perpendicular to the given line is the negative reciprocal of the slope of the given line. So, the slope of a line perpendicular to the line represented by the equation 3x +4y = 12 is the negative reciprocal of -3/4, which would be 4/3.

Therefore, the slope of a line perpendicular to the given line is 4/3.