Answer:
a) 
b) 
c) 
Step-by-step explanation:
a) The slope / gradient is the coefficient of 
, so for a) it will be 
.
C is the y-intercept, so the full equation will be .
b) Again, since the slope is 6, we know the coefficient of will be 6.
Now, we have a point on the line and so far, we know the equation is 
. The coordinates of the point are (2,-6). So now we substitute the y and x values into the equation in order to find C.
c) To find the gradient we must use the formula 
.
rise = change in y value
run = change in x value
so, the gradient 
Now the equation is 
Again, to find C we substitute any of the coordinates into the equation. I will use (-1,3).
so c) is
You can go on 9 rides, and will have $1.50 left over.
you can make 13 phone calls, and will have $0.15 left over
Answer:
400 square meters
Step-by-step explanation:
We can first solve this problem with each unit representing 1 centimeter, and then scale up at the very end. The shape that we have a parallelogram. The base is 8 cm, and the height is 2 cm. The formula for the area of a parallelogram is just 
, so the area of the parallelogram is 16 square centimeters. However, now we scale up. Since each centimeter correlates to 5 meters, each little box will correlate to 25 square meters. Therefore, 
square meters is our answer
9514 1404 393
Answer:
y < -1/4x -1
Step-by-step explanation:
The boundary line appears to go through the points (-4, 0) and (0, -1). This tells you it has a "rise" of -1 for a "run" of 4. The slope is ...
m = rise/run = -1/4
The y-intercept (b) is the point where the y-axis is crossed. The slope-intercept equation of the boundary line is ...
y = mx + b
y = -1/4x -1
__
The boundary line is dashed, so is not included in the solution set. The shading is below the line, so all y-values less than (but not equal to) the boundary line are in the solution set:
y < -1/4x -1
