Andy wrote the equation of a line that has a slope of and passes through the point (3, –2) in function notation. step 1: y – (–2) = (x – 3) step 2: y 2 = x – step 3: y 2 2 = x – 2 step 4: y = x – step 5: f(x) = x – analyze each step to identify if andy made an error.
Answer:
\(y=x-5\) is the required equation.
Step-by-step explanation:
We have been given the equation of a line that has a slope of and passes through the point (3, –2).
So, we have a formula for the equation of line with one point which is :
\(y-y_1=m(x-x_1)\)
Here, according to Andy's step slope is 1 so the required equation will be:
\(y-(-2)=(x-3)\)
\(y+2=x-3\)
\(\Rightarrow y=x-5\) is the required equation.