What is the equation of the line with slope m= -1/2 m=12 that passes through (5,3) (5,3)?

1 Answer

The equation of the line is y=-1/2x+11/2y=12x+112

Explanation:

As you know, equation of a line can be presented by y=mx+c (slope-intercept form). our slope (m)=-1/212 so we will have to find c (the y-intercept). The rest is shown above.

y=3y=3 , x=5x=5 and m=-1/2 rarrm=12 We then substitute what we were given into our equation:

3=(-1/2)*5+c rarr3=(12)5+c We work out what we have

3=(-5/2)+c rarr3=(52)+c Add(-5/2)(52) to both sides which gives us c=11/2c=112, therefore equation of the line is y=-1/2x+11/2y=12x+112