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Solve for a if the line through the two given points has the given slope.(a, 6) and (0, 1), m = 1a=

Solve For A If The Line Through The Two Given Points Has The Given Slopea 6 And 0 1 M 1a class=

Sagot :

Given:

Two points are,

[tex](a,6),(0,1)[/tex]

The slope is,

[tex]m=1[/tex]

To find:

The value of a.

Explanation:

Using the slope-intercept form of a line equation,

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

Substituting y-intercept c = 1 and slope m = 1 we get,

[tex]y=(1)x+1[/tex]

Then substituting the first point we get,

[tex]\begin{gathered} 6=a+1 \\ a=6-1 \\ a=5 \end{gathered}[/tex]

The value of a is 5.

Final answer:

The value of a is 5.

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