Answer:
6x - 7y = -11
Explanation:
To write the equation of a line when given two points, calculate the slope and substitute it into the point slope form of a line. From this form of the equation, you can simplify and convert to the standard form.
First, find the slope using the formula.
![m = (y_2-y_1)/(x_2-x_1) =(2--1)/((1)/(2) --3) =(3)/((7)/(2)) = (6)/(7)/tex]</p><p>Substitute m = 6/7 and the point (-3,-1) into the point slope form [tex](y-y_1) = m(x-x_1)]()
.
To convert to standard form, multiply the equation by 7. This means each term is multiplied by 7 to clear the denominator. Then multiply using the distributive property. You will now need to move terms across the equal sign. Begin by subtracting 6x from both sides. Then subtract 7 from both side. Lastly, multiply the equation by -1 since the leading coefficient in standard form cannot be negative.