Question

Answer question 11 and 12

Answer 1

Answer:

11.  y = -2x - 4.

12.  y = x - 5

Step-by-step explanation:

11. the given points on the line are ((-2, 0) and (0, -4)

The slope of the line

=  difference in y values / corresponding difference in x values

= ( - 4 - 0) / 0 - (-2))

= -4 / 2

= -2.

The general form of a straight line is y = mx + c where m = the slope and c = y value of the intercept on the y-axis.

So  the equation is:

y = -2x - 4.

12.

The points are (1, -4) and (3, -2).

The slope is    (-2 - (-4)) / (3 - 1)

=  2/2

= 1.

So the equation is  

y = 1x + c

We find c by plugging in the point (1, -4):

-4 = 1 + c

c = -4 - 1

c = -5.

The equation is y = x - 5.