Question

Write an equation of the line that passes through a pair of points:

Answer 1

Answer:

y = -x+2

Step-by-step explanation:

I chose this equation because it had a - (negative) in front of x and has the y -intercept of +2

A negative x shows that the line has a negative slope which goes downward

A y-intercept of 2 shows that the line passes the y-axis at +2 which the graph shows.

Answer 2

Answer:

C. y=-x+2

Step-by-step explanation:

slope intercept formula: mx+b=y

m = slope

x= value of X

y= value of Y

b= y-intercept

y-intercept: the y-coordinate of the point at which the graph crosses the y-axis.

in this case the y-intercept is 2

slope formula: slope= y2-y1/x2-x1

the two ordered pairs: (2,0), and (0,2)

substitute the variables and solve

2-0/0-2= 2/-2= -1

slope: -1

now substitute the variable for the slope intercept form

y= -1x+2 or y= -x+2