Question

Write the point-slope form of the equation of the line that passes through the point (-1, 5) and has a slope of -1.

a. Using variables, write out the formula for the point-slope form of the equation.

b. Identify the values for m, x1, and y1.

c. Fill these values into the point-slope form of the equation from part (a), and simplify as needed.

Use the box provided to submit all of your calculations and final answers. Simplify the answer as needed.

Answer 1

`(\stackrel{x_1}{-1}~,~\stackrel{y_1}{5})\hspace{10em} \stackrel{slope}{m} ~=~ - 1 \\\\\\ \begin{array}c \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{5}=\stackrel{m}{- 1}(x-\stackrel{x_1}{(-1)}) \implies {\large \begin{array}{llll} y -5= -(x +1) \end{array}}`