The equation of a line in slope-intercept form is y = 7/4x - 6. Which of the following is an equation for this line written in point-slope form?
The point-slope form of the equation of a line is given as y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope of the line.
Since the given equation is already in slope-intercept form (y = mx + b), the slope (m) is 7/4 and the y-intercept (b) is -6.
To write the equation in point-slope form, we need to choose a point on the line. Let's assume (0, -6) as a point on the line.
Plugging the values into the point-slope form equation, we get:
y - (-6) = (7/4)(x - 0)
y + 6 = (7/4)x
y = (7/4)x - 6
Thus, the equation for this line in point-slope form is y - (-6) = (7/4)(x - 0).