Question

write the equation of the line that is parallelto the graph of y=2/3x+7 and passes through the point (-1 -2)

Answer 1

`y + 2 = (2)/(3)(x+1)`

Explanation:

Parallel lines are parallel because they never intersect. As such, they have the same slope. The slope of the line y = 2/3x + 7 is 2/3. Substitute m = 2.3 and the point (-1,-2) into the point slope form of a line.

`y -y_1 = m(x-x_1)\\y --2 = (2)/(3)(x --1)\\y + 2 = (2)/(3)(x+1)\\`