Respuesta :

Answer:

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:
  • [tex]\displaystyle\frac{y2-y1}{x2-x1}[/tex]
  • [tex]\displaystyle\frac{0-(-2)}{4-0} =\frac{0+2}{4} =\frac{2}{4} =1/2[/tex]
  • 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.

fieryanswererft

[tex]\sf y = \dfrac{1}{2} x -2[/tex]

Explanation:

  • Take two points: (4, 0), (0, -2)

Find slope:

[tex]\sf \dfrac{y2-y1}{x2-x1}[/tex]

========

[tex]\rightarrow \sf \dfrac{-2-0}{0-4}[/tex]

[tex]\rightarrow \sf \dfrac{-2}{-4}[/tex]

[tex]\rightarrow \sf \dfrac{1}{2}[/tex]

Equation:

[tex]\sf y = mx + b[/tex]

==========

[tex]\sf y = \dfrac{1}{2} x -2[/tex]

Otras preguntas