Answer:
The y-intercept is the point at which the line crosses the y-axis. Example (b) Graph 6x – 3y = 12. Instead of completing a table of values
Answer:
y = 3x
Step-by-step explanation:
slope of line = 3
passing through = (0, 0)
The equation of line passing through a point and the slope is given is
![y-y_{1}=m\left ( x-x_{1} \right )](https://tex.z-dn.net/?f=y-y_%7B1%7D%3Dm%5Cleft%20%28%20x-x_%7B1%7D%20%5Cright%20%29)
y - 0 = 3 (x - 0)
y = 3 x
Thus, the equation of line is given by y = 3 x.
Answer:
divide
Step-by-step explanation:
Answer:
The dimensions of the sandbox will be 15 feet by 8 feet.
Step-by-step explanation:
Suppose we want to build a rectangular sandbox where the width is 7 less than the length and the diagonal is 2 feet longer than the length.
If x is the length and y is the width in feet, then we have the equations
x - y = 7 ......... (1) and
........ (2)
Now, solving equations (1) and (2) we get
⇒
Now, squaring both sides we get,
x² + x² - 14x + 49 = x² + 4x + 4
⇒ x² - 18x + 45 = 0
⇒ (x - 15)(x - 3) = 0
⇒ x = 15 or 3
But from equation (1) x ≠ 3, then x = 15 and y = x - 7 = 8
Therefore, the dimensions of the sandbox will be 15 feet by 8 feet. (Answer)