Question

Write the equation of a line given the following information:26) The line has a slope =and passes through (8.-1)27) TH

Answer 1

The equation of the line is;

`y=-(3)/(4)x+5`

Step-by-step explanation:

Given that the line has a slope of;

`m=-(3)/(4)`

And passes through the point;

`(8,-1)`

Applying the point-slope equation of straight line;

`y-y_1=m(x-x_1)`

substituting the given values and solving;

`\begin{gathered} y-(-1)=-(3)/(4)(x-8) \\ y+1=-(3)/(4)x-(3)/(4)(-8) \\ y+1=-(3)/(4)x+6 \\ y=-(3)/(4)x+6-1 \\ y=-(3)/(4)x+5 \end{gathered}`

Therefore, the equation of the line is;

`y=-(3)/(4)x+5`