Question

Write an equation of the line passing through the given points(1,-8) and (-2,-14)

Answer 1

Let's find the slope of the line with the given points.

`\begin{gathered} m=\frac{y2\text{ - }y1}{x2\text{ - }x1} \\ m=\frac{\text{ -14 - \lparen-8\rparen}}{\text{ -2 - 1}} \\ m=\text{ }\frac{\text{ -14+8}}{\text{ -3}} \\ m=\frac{\text{ -6}}{\text{ -3}} \\ m=2 \\ \end{gathered}`
`\begin{gathered} y=mx+b \\ \text{ -8 = }2(1)+b \\ \text{ -8= 2 + b } \\ b=\text{ - 8 - 2} \\ b=\text{ -10} \\ \\ then: \\ y=2x\text{ - 10} \end{gathered}`