The point-slope form:
[tex]y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have the points (-5, 8) and (5, 0). Substitute:
[tex]m=\dfrac{0-8}{5-(-5)}=\dfrac{-8}{10}=-0.8\\\\y-0=-0.8(x-5)\qquad|\text{use distributive property}\\\\y=-0.8x+4\qquad|\text{multiply both sides by 5}\\\\5y=-4x+20\qquad|\text{add 4x to both sides}\\\\4x+5y=20[/tex]
point-slope form: y - 0 = -0.8(x - 5)
slope-intercept form: y = -0.8x + 4
standard form: 4x + 5y = 20
