Question

Write the equation of the line that passes through the points (-6,1) and (-2,5). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.

Answer 1

• (-6,1)
• (-2,5)

Slope:-

$\\ \sf\longmapsto m=\dfrac{5-1}{-2+6}=\dfrac{4}{4}=1$

Point-Slope form

$\\ \sf\longmapsto y-y_1=m(x-x_1)$

$\\ \sf\longmapsto y-1=1(x+6)$

$\\ \sf\longmapsto y-1=x+6$

$\\ \sf\longmapsto x-y+7=0$