What is the slope of the line with equation y-3=-1/2(x-2)
Accepted Solution
A:
Given parameters: Equation of the straight line; y - 3 = [tex]\frac{-1}{2}[/tex](x -2)We can determine the slope of any straight line from the equation of such lines. Generally, a straight line has the formula; y = mx + C where y is the y-axis coordinate and x is the x-axis coordinate m is the slope and c is the y-axis interceptNow let us express the given equation in this format; y - 3 = [tex]\frac{-1}{2}[/tex](x - 2)Multiply both sides by 2; 2(y - 3) = -1(x -2) 2y -6 = -x + 2Rearrange to the form y = mx + c 2y = -x + 2 + 6 2y = -x + 8 divide by 2; y = [tex]\frac{-1}{2}[/tex]x + 4 y = mx + cthe slope is m and it is equal to [tex]\frac{-1}{2}[/tex]