Question

Write an equation of a line that passes through (0 -5) and (2, -5)

Answer 1

Answer:

The line would be a horizontal line through the point y = -2

The equation of the line would therefore be

y

=

−

2

Explanation:

If graph the point

(

0

,

−

2

)

we find that that point is on the y axis and therefore represents the y intercept.

If we then plug in the slope and y intercept into the slope-intercept formula of

y

=

m

b

+

b

where

m

=

the slope the

b

=

the y intercept, then

y

=

m

x

+

b

becomes

y

=

0

x

+

(

−

2

)

which simplifies to

y

=

−

2

Step-by-step explanation:

Answer 2

Solution:

Step-1: Find the slope of the line.

• Slope = Rise/Run = y₂ - y₁/x₂ - x₁
• => -5 - (-5)/2 - 0
• => -5 + 5/2
• => 0/2 = 0

Step-2: Find the y-intercept.

When looking at point (0 -5), we can see that the x-coordinate is 0.

This means that:

• The y-intercept must be -5.

Step-3: Create the equation.

• y = (m)x + (b)
• => y = 0x + (-5)
• => y = -5