Question 218784
write an equation in point-slope form for the line that satisfies the following condition. slope 1/2 and passes through (4,-1)


Since we have the slope, or m of {{{1/2}}} and point (4, -1), we use the point-slope form to get the equation.


{{{y - y[1] = x(x - x[1])}}}----- Point-slope form 


{{{y - - 1 = (1/2)*(x - 4)}}}----- Substituting slope {{{1/2}}} and point (4, -1) into equation


{{{y + 1 = (1/2)*x - (1/2)*4}}} ------ {{{y + 1 = (1/2)*x - 2)}}}


{{{y = (1/2)*x - 2 - 1}}} ----- Subtracting 1 from each side of equation


Therefore, we have: {{{highlight_green(y = (1/2)*x - 3)}}}