Question

Write the point-slope form of the given line that passes through the points (0, 3) and (4, 0). Identify (x1, y1) as the x-intercept of the line. Include your work in your final answer

Answer 1

x intercept is where the line passes through the x axis or where y=0
that is at (4,0)

ok, so

point slop
y-y1=m(x-x1)
a point is (x1,y1) and the slope is m

slope between (x1,y1) and (x2,y2) is (y2-y1)/(x2-x1)
given
(0,3) and (4,0)
slope=(0-3)/(4-0)=-3/4
a point is (4,0)

y-0=-3/4(x-4) is point slope