slope intercept form y - 5 = -1(x - 1) y - 5 = -x + 1 y = -x + 4 ....slope intercept form
c) sidewalk1 : y = 2x + 3 sidewalk2: y = -x + 4
2x + 3 = -x + 4 3x = 1 x = 1/3
y = 2(1/3) + 3 y = 2/3 + 3 y = 3 2/3
solution x = 1/3 and y = 3 2/3 A system of two linear equations can have one solution so it's consistent and exactly 1 solution so it is independent d) you can use this from c) x = 1/3 and y = 3 2/3