Find the equation of the straight line with gradient -1/2 that passes through the point (5,3)
The formula for equation of a line given the Slope mmm and point (x1,y1)(x_1,y_1)(x1,y1) is;
m=y−y1x−x1\displaystyle m=\frac{y-y_1}{x-x_1}m=x−x1y−y1
Here, m=−12, and(x1,y1)=(5,3).\displaystyle m=-\frac{1}{2},\text{ and}(x_1,y_1)=(5,3).m=−21, and(x1,y1)=(5,3). Thus we have the equation of the line as;
−12=y−3x−5⇒y=−x2+112\displaystyle -\frac{1}{2}=\frac{y-3}{x-5}\Rightarrow y=-\frac{x}{2}+\frac{11}{2}−21=x−5y−3⇒y=−2x+211
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