Answer:
11. y = -2x - 4.
12. y = x - 5
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.