Answer:
Option A. [tex]y=0.28x+0.75[/tex]
Step-by-step explanation:
Let
y -----> the height of fudge brownies in centimeters
x ----> teaspoons of baking powder
step 1
Find the slope
The formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
take the points
(5,2.15) and (6,2.43)
substitute the values
[tex]m=\frac{2.43-2.15}{6-5}[/tex]
[tex]m=\frac{0.28}{1}=0.28[/tex]
step 2
Find the equation of the line in point slope form
[tex]y-y1=m(x-x1)[/tex]
we have
[tex]m=0.28[/tex]
[tex](x1,y1)=(5,2.15)[/tex]
substitute
[tex]y-2.15=0.28(x-5)[/tex]
Isolate the variable y
[tex]y-2.15=0.28x-1.4[/tex]
[tex]y=0.28x-1.4+2.15[/tex]
[tex]y=0.28x+0.75[/tex]