Can you find an equation of the line containing the given pair of points 3 4 and 9 9?

Every line has an equation that can be written in the general form Ax + By + C = 0, where A, B, and C are real numbers, and A and B are not both 0.

First, we'll find the slope of the line:

m = (y2 - y1)/(x2 - x1) = (9 - 4)/(9 - 3) = 5/6. Now,

(y - y1) = m(x - x1) Point-slope form;

(y - 4) = (5/6)(x - 3)

y - 4 = (5/6)x - 15/6 Subtract (5/6)x and add 15/6 to both sides;

y - 3/2 - (5/6)x = 0 arrange terms;

-(5/6)x + y - 3/2 = 0 Multiply by -1 both sides;

(5/6)x - y + 3/2 = 0