Answer :
Answer:
The equation of the line that passes through the point (6,1) and the slope m=-3 is;
[tex]y=3x-17[/tex]Explanation:
Given the line with slope;
[tex]m=3[/tex]And passes through the point;
[tex](6,1)[/tex]Using the point-slope form of linear equation;
[tex]y-y_1=m(x-x_1)[/tex]Substituting the values of the slope and the given point;
[tex]y-1=3(x-6)[/tex]Above is the point-slope form of the equation.
solving further to get the slope-intercept form of the equation we have;
[tex]\begin{gathered} y-1=3x-18 \\ y=3x-18+1 \\ y=3x-17 \end{gathered}[/tex]Therefore, the equation of the line that passes through the point (6,1) and the slope m=-3 is;
[tex]y=3x-17[/tex]