Question

Match the info on the left with the appropriate equation on the right.

Answer 1

Explanation:

The equation in its slope and intercept form has the following form:

`\begin{gathered} y=mx+b \\ \\ \text{ where m is the slope and b is the y-intercetp} \\ \\ \text{ We calculate the slope as follows:} \\ \\ m=(y_2-y_1)/(x_2-x_1) \end{gathered}`

now, for each case we calculate the equation, as follows:

`\begin{gathered} (1)\text{ }m=1,b=-3 \\ \\ y=x-3\rightarrow x-y=3 \\ \\ (2)\text{ }m=1,(-1,2) \\ \\ y=x+b\rightarrow2=-1+b\rightarrow b=3 \\ \\ y=x+3\rightarrow x-y=-3 \\ \\ (3)\text{ }(-2,3),(-3,4) \\ \\ m=(4-3)/(-3-(-2))=(1)/(-3+2)=(1)/(-1)=-1 \\ \\ y=-x+b\rightarrow3=-(-2)+b\rightarrow b=1 \\ \\ y=-x+1\rightarrow y+x=1 \end{gathered}`