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Find the equation of a line with given slope and containing the given point. Write the equation in slope-intercept form. M= -2, point ( 2,1 )Y=

Find The Equation Of A Line With Given Slope And Containing The Given Point Write The Equation In Slopeintercept Form M 2 Point 21 Y class=

Sagot :

The equation of a line in slope-intercept form is;

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

For the given information, that is the slope and a point on the line, we now have;

[tex]\begin{gathered} (x,y)=(2,1) \\ m=-2 \\ y=mx+b\text{ now becomes;} \\ 1=-2(2)+b \\ 1=-4+b \\ \text{Add 4 to both sides} \\ 1+4=-4+4+b \\ 5=b \\ \text{Now that we have }\det er\min ed\text{ the value of b,} \\ We\text{ can substitute for m and b as follows; } \\ y=mx+b\text{ becomes;} \\ y=-2x+5 \end{gathered}[/tex]

ANSWER:

The equation of the line therefore is;

[tex]y=-2x+5[/tex]

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