Jen is building a doll house for her daughter. She decided that she wanted the slope of the roof to be 3/4. In the blueprint, the roof starts at (-6,10) and the center of the house is at (0,0). Knowing that the peak of the roof will be at (0,y), what y-coordinate will make the slope of the roof 3/4?
∆y/∆x = 3/4
∆x = 6, so ∆y = 9/2
(0,y) = (0,14.5)
To find the y-coordinate that will make the slope of the roof 3/4, we can use the slope formula.
The slope formula is given by:
slope = (change in y) / (change in x)
In this case, the change in x is 0 (since the x-coordinate doesn't change) and the change in y is y - 10 (the difference between the y-coordinate of the peak and the initial point of the roof).
We know that the slope is 3/4, so we can set up the equation:
3/4 = (y - 10) / 0
Since the change in x is 0, we have division by 0, which is undefined. This means that the slope cannot be determined using this equation.
To find the y-coordinate that will make the slope of the roof 3/4, we need more information or another equation that relates the different points on the roof.