Question

A line passes through (-7,-5) and (-5,4). Write an equation for the line in point-slope form. Rewrite the equation in standard form using integers

Answer 1

`\bf \stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-(-5)=\cfrac{9}{2}[x-(-7)] \\\\\\ y+5=\cfrac{9}{2}(x+7)\impliedby \textit{now let's multiply both sides by }\stackrel{LCD}{2} \\\\\\ 2(y+5)=2\left[ \cfrac{9}{2}(x+7)\right]\implies 2y+10=9(x+7) \\\\\\ 2y+10=9x+63\implies \stackrel{standard~form}{-9x+2y=53}`