EXPLANATION
Let's see the facts:
Recipe:
3 tablespoons of cookies ------> 2 tablespoons of chocolate chips
Let x be the tablespoons of chocolate chips and y be the tablespoons of cookies.
The point (1,1.5) is a part of the line, so x=1 and y=1.5
So, we have two ordered pairs:
(x_1,y_1)= (1,1.5) and (x_2,y_2)= (2,3)
The slope is given by the following equation:
[tex]\text{Slope}=\frac{y_2-y_1}{x_2-x_1}=\frac{3-1.5}{2-1}=\frac{1.5}{1}=1.5=3/2[/tex]The line equation is:
y = (3/2)x + b where m= 3/2 and b is the y-intercept
Now, subtituting either one ordered pair:
3=(3/2)*(2) + b
Multiplying terms:
3 = 3 + b
Subtracting -3 to both sides:
3 - 3 = b
Simplifying:
0 = b
Switching sides: b = 0
So the equation is:
y = (3/2)x
Now, mapping the line:
