4. What is the equation of the line?

  y= -1/2x + 1  

Step-by-step explanation:

The equation will be represented in slope intercept form because the line is not going through the origin.

Find two points on the line and use them to find the slope since we already know that the y-intercept is 1 because that is where the line intersects the y-axis.

The points  (0,1)  and (2,0)  will be used to find the slope because it is on the line.

The slope will be the difference between the  y coordinates divided by the difference of the x coordinates.  

1- 0 = 1

0 - 3 = -2

Slope:  -1/2  

The equation will be  y= -1/2x + 1

m∠a is 90°

m∠b is 40°

none.

step-by-step explanation:

m

1

=

5

m1=5

b

=

−

1

b=-1

find the slope and y-intercept of the second equation.

tap for more

m

2

=

0

m2=0

b

=

−

6

b=-6

compare the slopes

m

m of the two equations.

m

1

=

5

,

m

2

=

0

m1=5,m2=0

compare the two slopes in the decimal form. if the slopes are equal, then the lines are parallel. if the slopes are not equal, then the lines are not parallel.

m

1

=

5

,

m

2

=

0

m1=5,m2=0