What is the equation of the line with slope m= -1/2 that passes through (5,3) ?

1 Answer
Willingston E. · Serena D.
Mar 24, 2018

The equation of the line is y=-1/2x+11/2

Explanation:

As you know, equation of a line can be presented by y=mx+c (slope-intercept form). our slope (m)=-1/2 so we will have to find c (the y-intercept). The rest is shown above.

y=3 , x=5 and m=-1/2 rarr We then substitute what we were given into our equation:

3=(-1/2)*5+c rarr We work out what we have

3=(-5/2)+c rarr Add(-5/2) to both sides which gives us c=11/2, therefore equation of the line is y=-1/2x+11/2

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