A line passes through the point (8,-1) and has a slope of 5/4
Write an equation in slope-intercept form for this line.
The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.
In this case, the slope is 5/4 and it passes through the point (8, -1). Substituting these values into the equation, we get:
-1 = (5/4)(8) + b
To solve for b, we simplify the equation:
-1 = 10 + b
Subtracting 10 from both sides, we get:
-11 = b
Therefore, the equation of the line in slope-intercept form is:
y = (5/4)x - 11