Question

Write the equation of the line in point-slope form that goes through (-6, 11) and has a slope of 2/3.

A. y - 11 = (2/3)(x + 6)
B. y - 11 = (3/2)(x + 6)
C. y = (2/3)x + 11
D. y = (3/2)x + 11

Answer 1

The equation of the line in point-slope form that goes through (-6, 11) and has a slope of 2/3 is y - 11 = (2/3)(x + 6).

Step-by-step explanation:

The equation of the line in point-slope form that goes through (-6, 11) and has a slope of 2/3 is option A. y - 11 = (2/3)(x + 6). To write the equation in point-slope form, we use the formula y - y1 = m(x - x1), where (x1, y1) is the given point and m is the slope. Substituting the given values, we have y - 11 = (2/3)(x + 6).