Determine the equation of the line that passes through (5,2)and has the same y-intercept as y = 3
1 answer:
Answer:
y = -0.2(x) + 3
Step-by-step explanation:
One way to find an equation for a line is to find two points and go from there. To find the second point, we can note that the y intercept means when x=0. In the line y=3, y is always 3, so when x=0, y = 3.
Our two points are then (5, 2) and (0,3)
To find the slope, we can use
Using the formula y = mx + b and the slope m = -0.2, plugging into (5, 2) and solving for b, we get
2 = -0.2 (5) +b
2 = -1 + b
add 1 to both sides to isolate the b
b = 3
Our formula is thus
y = -0.2(x) + 3
You might be interested in
The x-intercept of -2 gives us an idea that point (-2,0) if found along the line. The y-intercept of -1, tells us that point (0,-1), this also tells us that b = -1.
Now that we have two points, we can solve for slope m
Now that we have both m and b. Substitute these values to the slope intercept form
Answer:
They will win 48 games in a 120 game season.
Step-by-step explanation:
The team won 20 games out of 50; that is a 20:50 ratio, that is equal to x:120. x is the amount of games won in the 120 game season.
Set up the ratios like this:
=
cross multiply the numerators and denominators to get this:
20*120 = 50x
solve for x:
2,400 = 50x
x = 48