Although not specifically requested, we'll assume the question requires to find the equation of the line passing through both points
Answer:
[tex]6y-7x+11=0[/tex]
Step-by-step explanation:
Equation of a Line
To completely define the equation of a line, we only need two points through which the line passes. Let's say that our line passes through the points (x1,y1) and (x2,y2). The equation of the line can be found by
[tex]\displaystyle y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
We have the coordinates of the points to be (-1,-3) and (5,4). Plugging the values into the formula:
[tex]\displaystyle y+3=\frac{4+3}{5+1}(x+1)[/tex]
Operating
[tex]6(y+3)=7(x+1)[/tex]
[tex]6y+18=7x+7[/tex]
Rearranging to find the standard equation
[tex]\boxed{6y-7x+11=0}[/tex]
