Answer:
y = 3/4x - 5
Step-by-step explanation:
An equation of a line can be written in slope-intercept form:
y = mx + b
where m is the slope and b is the y-intercept.
Let's plug in what we know.
The slope is 3/4.
y = 3/4x + b
To find b, we want to plug in a value that we know is on this line: in this case, I will use the point (4, -2). Plug in the x and y values into the x and y of the standard equation.
-2 = 3/4(4) + b
To find b, multiply the slope and the input of x(4)
-2 = 3 + b
Now, subtract 3 from both sides to isolate b.
-5 = b
Plug this into your standard equation.
y = 3/4x - 5
This is your equation. It has a slope of 3/4, and passes through (4, -2)
Hope this helps!
Answer:
2x - y = 9
Step-by-step explanation:
The equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
Rearrange y + 1 = 2(x - 4) into this form
y + 1 = 2x - 8 ( add 8 to both sides )
y + 9 = 2x ( subtract y from both sides )
9 = 2x - y ⇒ 2x - y = 9 ← in standard form
The merchandise shop sells 80 CDs for every 1 vinyl record. We have to find how many vinyl records they are likely to sell if the merchandise shop sells 760 CDs:
80 CDs -------------------- 1 vinyl record
760 CDs --------------------- x vinyl records
---------------------------------------------------------
80 : 760 = 1 : x
80 x = 760
x = 760 : 80
x = 9.5 or 9 ( we need a whole number )
Answer: They are likely to sell 9 vinyl records.
