A line has a slope of -5/3. Through which two points could this line pass?
a. (12,13),(17,10)
b. (16,15),(13,10)
c. (0,7),(3,10)
d. (11,13),(8,18)
1.C
2.D
3.B
4.D
5.D
Thanks me later<3
My brother correct 100%
Its D
Almost all right but but 5 is b 60 mph
i don't know the answer
the answer is b
i hope this helps, thanks
the answer is d.-5/3
To find the answer, we need to use the slope-intercept form of a linear equation, which is given by:
y = mx + b
Here, m is the slope of the line and b is the y-intercept. The slope is given as -5/3.
Let's check each option by substituting the coordinates into the equation and see if they satisfy it.
a. (12,13),(17,10)
Using the first point (12,13):
13 = (-5/3)(12) + b
13 = -20 + b
b = 33
Now, let's check if the second point (17,10) satisfies the equation:
10 = (-5/3)(17) + 33
10 = -85/3 + 99/3
10 = 14/3
So, option a does not satisfy the equation for a line with a slope of -5/3.
b. (16,15),(13,10)
Using the first point (16,15):
15 = (-5/3)(16) + b
15 = -80/3 + b
b = 125/3
Now, let's check if the second point (13,10) satisfies the equation:
10 = (-5/3)(13) + 125/3
10 = -65/3 + 125/3
10 = 60/3
So, option b does not satisfy the equation for a line with a slope of -5/3.
c. (0,7),(3,10)
Using the first point (0,7):
7 = (-5/3)(0) + b
7 = b
Now, let's check if the second point (3,10) satisfies the equation:
10 = (-5/3)(3) + 7
10 = -15/3 + 21/3
10 = 6/3
So, option c does not satisfy the equation for a line with a slope of -5/3.
d. (11,13),(8,18)
Using the first point (11,13):
13 = (-5/3)(11) + b
13 = -55/3 + b
b = 94/3
Now, let's check if the second point (8,18) satisfies the equation:
18 = (-5/3)(8) + 94/3
18 = -40/3 + 94/3
18 = 54/3
So, option d satisfies the equation for a line with a slope of -5/3.
Therefore, the line with a slope of -5/3 could pass through the points (11,13) and (8,18), which is option d.
(b) has slope -5/-3 so nope.
Take a look at (a)