Answer:
3x - 2y = 1
Step-by-step explanation:
Step 1: Find the slope
slope m = (y2 - y1)(/x2 - x1)
m = (4 - 1)/(3 - 1) = 3/2
Step 1: Use the formula y = mx + b to solve
This is slope-intercept form of a line. We have a slope of 3/2, and a point (x, y), which is (1, 1). Plug those values into the equation above and solve for b (the only variable we are missing
1 = (3/2)(1) + b
1 = 3/2 + b
1 - 3/2 = b
2/2 - 3/2 = b
-1/2 = b
Step 2: Rewrite the formula using the slope and the b value we just calculated
y = (3/2)x - 1/2
Step 3: Standard form of a line is ax + by = c, where a is a positive integer, so we rearrange the equation from step 2 to standard form.
y = (3/2)x - 1/2
-(3/2)x + y = -1/2 (subtract (3/2)x from both sides)
-3x + 2y = -1 (multiply by 2 to get rid of the fraction on x)
3x - 2y = 1 (multiply by -1 so a becomes positive)
The graph of a curve that passes the vertical line test is known as a function. Functions are graphical representations that may have multiple x-values for a given y-coordinate, but will never have multiple y-values for any given x-coordinate.
Hope that helped! =)
Answer:
In order to find the distance traveled in one minute, you have to divide the distance he can ride his bike in an hour by the number of minutes in a hour. 6/60= .1 mile per minute. If he rides his bike for five minutes, then you would multiply the number of minutes biked by the distance traveled in a minute. .1*5=.5 mile, or 
mile.
Step-by-step explanation:
Answer:
x = -10/6 or - 5/3 (in lowest terms)
Step-by-step explanation:
To solve 2(x + 3) = -4(x + 1) for x:
Distribute 2 into (x + 3), and -4 into (x + 1):
2(x + 3) = -4(x + 1)
2x + 6 = -4x - 4
Add 4x to both sides:
2x + 6 + 4x = -4x + 4x - 4
6x + 6 = -4
Subtract 6 from both sides:
6x + 6 - 6 = -4 - 6
6x = -10
Divide both sides by -6:
x = -10/6 or - 5/3 (in lowest terms)
