The points (–4, –3) and (–1, –8) are on a line. Find the intercepts to the nearest tenth.

The intercepts are the points where the line meets with the x axis and the y axis. First let us find the equation of the line.Finding slope:slope=change in y/change in x (y2-y1/x2-x1)slope=-3-(-8)/-4-(-1)=5/-3=-5/3Finding y-intercept:y=mx+b-8=-5/3(-1)+bb=-9 2/3y intercept: (0,-9 2/3)Equation: y=-5/3x-9 2/3Since we already have the y intercept let us find the x intercept by plugging 0 in the place of y in the equation. 0=-5/3x-9 2/3x=29/3x(-3/5)x=-29/5x intercept: (-29/5,0)answers: (0,-9 2/3) and (-29/5,0)