Question #293805

Find the equation of the straight line with gradient -1/2 that passes through the point (5,3)


1
Expert's answer
2022-02-06T13:17:42-0500

The formula for equation of a line given the Slope mm and point (x1,y1)(x_1,y_1) is;

m=yy1xx1\displaystyle m=\frac{y-y_1}{x-x_1}

Here, m=12, and(x1,y1)=(5,3).\displaystyle m=-\frac{1}{2},\text{ and}(x_1,y_1)=(5,3). Thus we have the equation of the line as;

12=y3x5y=x2+112\displaystyle -\frac{1}{2}=\frac{y-3}{x-5}\Rightarrow y=-\frac{x}{2}+\frac{11}{2}


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