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 (:

Write an equation in pointslope form for the line through the two points Then change it toslopeintercept form Rewrite the equation in standard form10 1 2 and 3 class=

Respuesta :

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

[tex]m=\frac{-2-1}{-1-0}=\frac{-3}{-1}=3[/tex]

and the line equation will be:

[tex]y-1=3x\Rightarrow y=3x+1[/tex]

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

[tex]m=\frac{-1-0}{0-(-1)}=\frac{-1}{1}=-1[/tex]

and the line equation will be:

[tex]y=-1(x-(-1))\Rightarrow y=-x-1[/tex]

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