what is the equation of the line that passes through the point (6,4) and has a slope of -2/-3

Question

what is the equation of the line that passes through the point (6,4) and has a slope of -2/-3

Answer 1

Find the equation for a line that passes through (6,4) and has a slope of (-2/3).

Step One: Plug in given values using the slope-intercept form.

x = 6, y = 4, m = (-2/3)

y = m(x) + b

4 = (-2/3)(6) + b

Step Two: Solve for b.

4 = (-2/3)(6) + b

4 = -4 + b

8 = b

Step Three: Plug in values for slope (m) and b (intercept) into the slope-intercept form of a line equation.

y = (-2/3) x + 8