Answer:
y = 2/3x - 3
Step-by-step explanation:
First let's look at what slope-intercept form is.
y = mx + b
m is the slope, which in this case is 2/3
b is the y-intercept, which we will find later.
Now that we have identified the parts of the equation, let's plug in what we know. Use the point given for your x and y values.
y = mx + b
1 = 2/3(6) + b
Let's simplify this to find b.
[multiply] 1 = 4 + b
[subtract 4]
-3 = b
We now have our b-value, which is also our y-intercept. Plug in this value into the standard slope-intercept equation.
y = 2/3x - 3
This is your equation.
Check this by plugging in the point again.
1 = 2/3(6) - 3
[multiply] 1 = 4 - 3
[subtract]
1 = 1
This expression is true; therefore, your answer is correct.
Hope this helps!
Answer:
help me pls
Step-by-step explanation:
Step-by-step explanation:
Y=2/3x-4 is in Slope - intercept form meaning you are shown the slope (how steep the line is) and the y intercept (where the equation hits the vertical axis)
With the given information, select the point (0, -4) on the graph, this is where the line crosses the y axis, as shown through the -4 in the equation.
Next, look at the slope and youll see 2/3x. Slope is in format "rise over run" meaning the first number (2) is the vertical change, so up two, and the second number (3) is horizontal change, right 3.
Combine these two steps together and select point (0. -4) then the next point should be at (3,2), 2 units up and three to the right from the y intercept.
As shown in the image, we have a 30 degree angle and x, which is what we want. By doing tan30, we can find x, so tan30=x/70 and 70*tan30=x= 70*sqrt(3)/3. 120-x=height of first tower = 120-(70*sqrt(3)/3) = roughly 79.59
