Question

What is the equation of the line that passes

through the point (−1, 8) and has a slope
of -6?
Answer

Answer 1

`\text{The equation of a line passing through points }(x_1,y_1) \text{ and having slope} \ m \text{\ is:}\\y-y_1=m(x-x_1)`

`\text{According to the question,}\\(x_1,y_1)=(-1,8)\\\text{Slope }(m)=-6\\\text{So the equation of the line is: }\\y-8=-6(x+1)\\\text{or, }y-8=-6x-6\\\text{or, }y+6x=8-6\\\text{or, }6x+y=2`