What is the equation of the line in slope-intercept form that passes through (-1, -5) and (4,−2).

Answer 1

(-1,-5) and (4,-2) form a line with slope (-2- -5)/(4- -1) = 3/5= m

y=mx + b

y=3x/5 + b. plug in either point to solve for b

-2= 3(4)/5 + b

b =-2 -12/5 = -10/5 -12/5 =- 22/5= y intercept

y= (3/5)x -22/5