Question

Using complete sentences, explain how to find the equation of the line, in standard form and slope-intercept form, passing through (-1, -7) and (1, -1). Also compare the benefits of writing an equation in standard form to the benefits of writing an equation in slope-intercept form.

Answer 1

given the points......(x1,y1) and (x2,y2)
slope = (y2-y1)/(x2-x1)=(-1-(-7))/(1-(-1))=(-1+7)/(1+1)=6/2=3

Answer 2

standard form of line passing through a point & with slope m will be
y-y1=m*(x-x1)
or
y-y2=m*(x-x2)

Answer 3

y-(-1)=3*(x-1)
y+1=3x-3
y=3x-3+1
y=3x-2
where y intercept is -2