Question

# What would be the linear equation for this function, & the graph? (X_1,Y_1)=(-7,3), (X_2,Y_2)=(6,3)

Linear equations and graphs
What would be the linear equation for this function, & the graph?
$$\displaystyle{\left({X}_{{1}},{Y}_{{1}}\right)}={\left(-{7},{3}\right)},{\left({X}_{{2}},{Y}_{{2}}\right)}={\left({6},{3}\right)}$$

2020-12-15
This is linear equation with connecting two points.
$$\displaystyle{\left({x}_{{1}},{y}_{{1}}\right)}-{\left(-{7},{3}\right)}$$
$$\displaystyle{\left({x}_{{2}},{y}_{{2}}\right)}={\left({6},{3}\right)}$$
Linear eqution
$$\displaystyle{\left({y}-{y}_{{1}}\right)}=\frac{{{y}_{{2}}-{y}_{{1}}}}{{{x}_{{2}}-{x}_{{1}}}}{\left({x}-{x}_{{1}}\right)}$$
y-3=0 or y=3
This is the graph of y=3.