Question

Write an equation in point-slope form for the line through the two points. Then change it toslope-intercept form. Rewrite the equation in standard form.10. (1, 2) and (3, 12)11. (6, 2) and (-2,-2) 12. (4,1) and (1,4)Please help I have sooo many assignments (:

Answer 1

For the point 13. we have that the line passes through the points (-1,-2) and (0,1) then the slope is

`m=(-2-1)/(-1-0)=(-3)/(-1)=3`

and the line equation will be:

`y-1=3x\Rightarrow y=3x+1`

For the point 14: we have that the line passes through the points (-1,0) and (0,-1) then the sslope is:

`m=(-1-0)/(0-(-1))=(-1)/(1)=-1`

and the line equation will be:

`y=-1(x-(-1))\Rightarrow y=-x-1`

For the point 15: the line equation is y=-3 because the y coordinate will be always the same (-3) and the slope of the line will be equal to zero