Answer:
y - 5 = (-6/11)(x - 7)
Step-by-step explanation:
Looking at the points (7, 5) and (-4, -1), we see that x decreases by 11 (from 7 to -4) and y decreases by 6 (from 5 to -1). Therefore, the slope of this line is m = rise / run = -6 / 11.
Start with the point-slope form y - k = m(x - h). Substitute the x- and y-coordinates of one of the given points for h and k in the above form:
y - k = (-6/11)(x - h) => y - 5 = (-6/11)(x - 7)
This is the equation of the line in question, in point-slope form.
