Question

A line passes through the point 6,2 and has a slope of -4 over 3.

Write an equation in slope-intercept form for this line.

Answer 1

y = -4/3x + 10

Explanation:

A line with a slope of -4 over 3 that passes through the point (6,2) can be written in slope-intercept form as:

y = (-4/3)x + b

To find the value of b, we can plug in the coordinates of the given point (6,2) into the equation and solve for b:

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

2 = -8 + b

b = 10

Therefore, the equation of the line in slope-intercept form is:

y = (-4/3)x + 10