what is the slope of the line that passes through the points (-4,4) and (-1,3)

Answer 1

(-4,4) and (-1,3) have a line through them with slope = (4-3)/-4+1) = 1/-3 = (y-3)/(x+1)

y-3 = (-1/3)(x+1) is the equation in point slope form

y = (-1/3)x -1/3 + 3

y = (-1/3)x + 8/3

y=--x/3 + 8/3 is the equation is slope intercept form slope=-3, y intercept =0

or

3y = -x +8

x+3y-8 = 0 in general form

x+3y =8 in standard form

slope of the line = -1/3

It might help to plot the two points and draw a line through them, to get a clue of the slope. It's downward sloping, so it's negative