The equation of the line written in slope-intercept form is:
[tex]y = mx + b[/tex] Where m is the slope and b is the y-intercept. You find the slope using the formula:
[tex]m = \frac{yb - ya}{xb - xa} [/tex] Where point A coordinates' are (-4,-19) and point B (-6, 4).
[tex]m = \frac{4 + 19}{ - 6 + 4} [/tex] [tex]m = - \frac{23}{2} [/tex] Now you find b (y-intercept) substituting in y=-23/2x+b the coordinates of point A or point B: (I'll use point B coordinates') y=-23/2x+b 4=-23/2×(-6)+b 4=46+b b=-42 The equation of the line is y=-23/2x-42
