Rewrite the equation in standard form of the line that passes through the given points (-1,-4); (1,6)

Accepted Solution

Answer:5x - y = -1Step-by-step explanation:The point-slope form of an equation of a line:[tex]y-y_1=m(x-x_1)[/tex]m - slopeThe formula of a slope:[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]========================================We have the points (-1, -4) and (1, 6). Substitute:[tex]m=\dfrac{6-(-4)}{1-(-1)}=\dfrac{10}{2}=5[/tex][tex]y-(-4)=5(x-(-1))\\\\y+4=5(x+1)[/tex]Convert it to the standard form [tex]Ax+By=C[/tex]:[tex]y+4=5(x+1)[/tex]          use the distributive property[tex]y+4=5x+5[/tex]         subtract 4 from both sides[tex]y=5x+1[/tex]           subtract 5x from both sides[tex]-5x+y=1[/tex]        change the signs[tex]5x-y=-1[/tex]