Mharlona02idn
Answered

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find the equation of the line using the following given slope and y intercept m=2/3 , b=-2​

Sagot :

LeviTate01idn

✒️EQUATION OF A LINE

[tex]\tt{\huge{\blue{Solution:}}}[/tex]

The problem asks to find the equation of the line. First, we will use the slope-intercept form of equation of a line and we will substitute the given slope and y-intercept. This will give

[tex]y = mx + b \\ y = \frac{2}{3}x + (-2) \\ y = \frac{2}{3}x - 2[/tex]

Second, multiply the equation both sides by 3 to eliminate the denominator of the slope. This will give

[tex](y = \frac{2}{3}x - 2)(3) \\ 3y = 2x - 6[/tex]

Finally, arrange the equation above in standard form. Therefore,

[tex]\boxed{2x - 3y = 6}[/tex]

[tex]\\[/tex]

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