Answer:
Step-by-step explanation:
We have been given that the variables y and x have a proportional relationship, therefore, we can represent the relationship between x and y as: , where k is proportionality constant.
Let us substitute x=3 and y=15 in above equation to find the value of k.
Now let us substitute k=5 and y=4 in our proportionality equation to find the corresponding value of x.
Therefore, the value of x will be 0.8, when y equals to 4.
Answer:
Step-by-step explanation:
To write an equation, use the slope-intercept equation:
M is the slope and b is the y-intercept.
First, find the slope by using the slope formula for when you have two points:
Rise over run is the change in the y-axis over the change in the x-axis. Substitute values:
Simplify parentheses (two negatives make a positive) and simplify:
The slope, m, is 4. Insert this information into the equation:
Now, take one of the points and insert into the slope-intercept formula:
Solve for b, the y-intercept. Simplify multiplication:
Add 20 to both sides and simplify:
The y-intercept, b, is 20. Insert this value into the equation:
Done.