Write an equation of the line that passes through a pair of points: On a coordinate plane, a line goes through (4, 1) and (5, 2).
a.
y = x + 3
c.
y = -x + 2
b.
y = x - 3
d.
y = -x - 2

Please select the best answer from the choices provided

A
B
C
D

answer: a and c are correct

step-by-step explanation:

the +5 is the vertical translation

the added negative symbol in front is the reflection over the y-axis

2.83941151 would be the answer you're looking for! : )

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is