Question

What’s the equation for the line below? Pick 1 answer from bellow

Answer 1

The point-slope form of the linear equation is

`y-y_1=m(x-x_1)`

m is the slope of the line

(x1, y1) is a point on the line

The rule of the slope of the line which passes through points (x1, y1) and (x2, y2) is

`\begin{gathered} m=(y_2-y_1)/(x_2-x_1) \\ \end{gathered}`

Since the given line passes through points (1, 4) and (-2, -3), then

`\begin{gathered} (x_1,y_1)=(1,4) \\ (x_(2,)y_2)=(-2,-3) \end{gathered}`

Substitute them in the rule of the slope to find it

`\begin{gathered} m=(-3-4)/(-2-1) \\ m=(-7)/(-3) \\ m=(7)/(3) \end{gathered}`

Substitute m and point (1, 4) in the form of the equation above

`y-4=(7)/(3)(x-1)`

But this answer is not in the given choices

The closest answer is b but the value of the slope should be 7/3, not 2