Question

What is the equation of this line?

y=2x−2

y=−12x−2

y=12x−2

y=−2x−2

Answer 1

y=1/2x-2

Solution:

• First, we need to determine the slope of the line.
• We can pick any two points on the graph and plug them into the slope formula.
• I chose (0, -2) and (4, 0)
• Plug them into the formula:
• 
  `\displaystyle(y2-y1)/(x2-x1)`
• 
  `\displaystyle(0-(-2))/(4-0) =(0+2)/(4) =(2)/(4) =1/2`
• Now, the y-intercept is (0, -2) or -2.
• Therefore, the equation of the line is
• y=1/2x-2

Hope it helps.

Do comment if you have any query.

Answer 2

`\sf y = (1)/(2) x -2`

Step-by-step explanation:

• Take two points: (4, 0), (0, -2)

Find slope:

`\sf (y2-y1)/(x2-x1)`

========

`\rightarrow \sf (-2-0)/(0-4)`

`\rightarrow \sf (-2)/(-4)`

`\rightarrow \sf (1)/(2)`

Equation:

`\sf y = mx + b`

==========

`\sf y = (1)/(2) x -2`