Question

Write the equation of the line that passes through (-2,0) and (0, -7)

Answer 1

Answer:

Step-by-step explanation:

1.

(-2,0) (0,-7)                y2-y1

                            -----------------

                                 x2-x1

-7-0= -7

0- (-2)= 2             ------>>> -7/2 =m or slope

2.

y= -7/2x+b          to find b u plug in one pair of coordinates for example (-2,0)

                          and use inverse properties to find b

0 = -7/2(-2) + b

       14/2 = 7

0= 7+b

-7 -7

-----------

-7=b

3.

y=-7/2x-7    

Answer 2

Answer:

y= -3.5x-7

Step-by-step explanation:

insert (-2,0), (0,-7) into the equation y=ax+b

=> 0= -2a+b, -7=b

solve a, b

$\left \{ {{-2a+b=0} \atop {b=-7}} \right.$

=> -2a-7=0

=> -2a=7

=> a= -3.5, b= -7

insert a, b into the equation y=ax+b

y= -3.5x-7