Answer:
The answer to your question is:
Step-by-step explanation:
A.) Line k has x-intercept __6______ and y-intercept _4_______.
B.) The slope of line k is _-2/3___.
m = (4- 0 ) / (0 - 6) = -2/3
C.) Write the equation of line k in slope-intercept form (y=mx+b).
(y- y1) = m(x - x1)
(y - 0) = -2/3(x - 6)
y = -2/3x + 4
D.) Write the equation of line k in standard form (Ax+By=C).
y = -2/3 x + 4
2/3x + y = 4
2x + 3y = 12
E.) Draw line AB and prove AB perpendicular k.
New slope
m = (5 + 1) / (5 - 1)
m = 6/4
m = 3/2 This slope is perpendicular to -2/3 because
(-2/3)(3/2) = - 1
See the picture below
