Points (3,1) and (1,4) lie on line k. What is the slope of the line that is perpendicular to k?
1 answer:
First we need to find the slope of line k. Using the slope formula, we fill in accordingly: 
. The slope is -3/2. The slope of a line that is perpendicular to line k will have the opposite sign (so, positive) and will be the reciprocal of the line k's slope (so, 2/3). You could also say, more "mathematically legal", that the product of the slopes of perpendicular lines is -1, but it's easier to just say that they are opposite reciprocals. The slope you're looking for is 2/3. Choice 3 above.
You might be interested in
Answer:
An equation in the slope-intercept form is:
Step-by-step explanation:
The slope-intercept form of the line equation
y = mx+b
where m is the rate of change or slope and b is the y-intercept
Given
- Let x represent the time in months
- Let y represent the amount of money remaining in the account.
Given that every month Monica withdraws $15 from this account for her contact lenses
- so, the rate of change or slope = m = 15
Given that after 3 months she has $255 left in her account.
i.e. (3, 255)
substituting ,
and
in the slope-intercept form to determine the y-intercept
switch sides
Thus, the y-intercept b = 210
Now, substituting and
in the slope-intercept form of the line equation
Hence, an equation in the slope-intercept form is: