Answer:
The equation of the line is y = 3/2x + 5/2
Step-by-step explanation:
To find the equation of this line, start by using the two points with the slope formula to find the slope.
m(slope) = (y2 - y1)/(x2 - x1)
m = (4 - 1)/(1 - -1)
m = 3/(1 + 1)
m = 3/2
Now that we have the slope, we can use that and either point in point-slope form to find the equation.
y - y1 = m(x - x1)
y - 4 = 3/2(x - 1)
y - 4 = 3/2x - 3/2
y = 3/2x + 5/2
Answer:
Corresponding point to (2,8) along -3/4 f(x) = ( -1.5 , -6 )
Explanation:
When a graph f(x) is multiplied by a factor k, the points on the graph also changes by (kx, ky).
Here it is given that (2,8) is on the graph of f(x)
Now we need to find corresponding point to (2,8) along -3/4 f(x)
x - coordinate = 
y - coordinate = 
So corresponding point to (2,8) along -3/4 f(x) = ( -1.5 , -6 )
<span>This is a right triangle problem. c^2 = a^2 + b^2
Let b = 7 mi (Rosa's distance from home)
Let a = the east leg (Juan's distance from home
(a+1) = c (hypotenuse, distance between them)
(a+1)^2 = a^2 + 7^2
FOIL (a+1)(a+1)
a^2 + 2a + 1 = a^2 + 49
Combine like terms
a^2 - a^2 + 2a = 49 - 1
2a = 48
a =
<span>a = 24 mi, Juan's distance from home
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Answer:
a = -8
Step-by-step explanation:
-48 = 6(a)
divide both sides by 6
-8 = a
