Respuesta :

Answer:

5

Step-by-step explanation:

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  1. [tex]\sqrt{x}[/tex]

Answer:

[tex]y=\frac{1}{2} x-5[/tex]

Step-by-step explanation:

Slope-intercept form:

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

where:

  • m is the slope
  • b is the y-intercept
  • x and y are corresponding coordinate points

When two lines are parallel, their slopes are the same. Mak a new equation with the same slope:

[tex]y=\frac{1}{2} x+b[/tex]

Now we need to find the value of b. Insert the given point for x and y:

[tex]-4=\frac{1}{2} (2)+b[/tex]

Solve for b.

Simplify multiplication. Follow the rule [tex]\frac{a}{b} *c=\frac{ac}{b}[/tex]:

[tex]-4=\frac{1*2}{2} +b\\\\-4=1+b[/tex]

Isolate the variable. Subtract 1 from both sides:

[tex]-4-1=1-1+b\\\\-5=b[/tex]

The y-intercept is -5. Insert, replacing the "+":

[tex]y=\frac{1}{2} x-5[/tex]

:Done