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What is the equation in slope intercept form of the line that passes through the point(5,0)and is parallel to the line represented by y=1.2x+3.8

Answer :

Answer:

Step-by-step explanation:

y - 0 = 1.2(x - 5)

y = 1.2x - 6

The equation of the line is:

[tex]y = 1.2x - 6[/tex]

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The equation of a line, in slope-intercept formula, is given by:

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

In which:

  • m is the slope.
  • b is the y-intercept.
  • If two lines are parallel, they have the same slope.

  • Parallel to y = 1.2x + 3.8, which has slope of [tex]m = 1.2[/tex], thus:

[tex]y = 1.2x + b[/tex]

It passes through point (5,0), which means that when [tex]x = 5, y = 0[/tex], and this is used to find b.

[tex]y = 1.2x + b[/tex]

[tex]0 = 1.2(5) + b[/tex]

[tex]b = -6[/tex]

Thus, the equation is:

[tex]y = 1.2x - 6[/tex]

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