A line passes through a point (-8,4) and has a slope of -3/4. Write an equation in slope-intercept form for this line.

1 answer

The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

Given the point (-8,4) and the slope of -3/4, we can plug in these values to find the equation:

y = (-3/4)x + b

To find the value of b, we can plug in the coordinates of the point (-8,4):

4 = (-3/4)(-8) + b
4 = 6 + b
b = -2

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

y = (-3/4)x - 2