Answer:
Step-by-step explanation:
1) First, find the slope of the line. Use the slope formula 
. Pick two points on the line and substitute their x and y values into the formula, then solve. I used the points (-5,-4) and (0,-6):
So, the slope of the line is 
.
2) Next, use the point-slope formula 
to write the equation of the line in point-slope form. (From there, we can convert it to slope-intercept form.) Substitute values for the 
, 
and 
into the formula.
Since represents the slope, substitute in its place. Since and represent the x and y values of one point on the line, pick any point on the line (any one is fine, it will equal the same thing at the end) and substitute its x and y values in those places. (I chose (0,-6), as seen below.) Then, with the resulting equation, isolate y to put the equation in slope-intercept form:
Answer:
b. -2
Step-by-step explanation:
Note the slope-intercept form: y = mx + b
Note that:
y = (x , y)
m = slope
x = (x , y)
b = y-intercept
First, isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Subtract 2x from both sides of the equation:
2x (-2x) + y = (-2x) + 12
y = -2x + 12
Remember, m is the variable for the term that stands for the slope (directly next to the x variable). In this case, your answer will be -2
b. -2 is your answer.
~
Answer:
25
Step-by-step explanation:
If we call the number we're looking for n, then
n * 60/100 = 15
then n = 15/0.6 = 25
Answer:
A
I think your question is lack of information:
After one hour, the hare had finished 2/3 of a 100-yard race. In that same time, the tortoise had finished 42 3/4 yards. How much farther had the hare run than the tortoise?
Step-by-step explanation:
In one hour:
- The hare: 2/3 of 100-yard race = 200/3
- The tortoise: 42 3/4 yards = 171/4
How much farther had the hare run than the tortoise = 200/3 - 171/4 ≈23 yards.
