Note:
The slope of a straight line passing through the points (x₁, y₁) and (x₂, y₂) is

The two given points are (-3,4) and (4,-1). Therefore the slope is

Answer:
Answer:
x = negative three fifthsy + 3
Step-by-step explanation:
5x + 3y = 15
Subtract 3y from both the sides,
5x = 15 - 3y
Divide by 5 on both sides,
x = -3y/5 + 15/5
x = -3y/5 + 3
Answer:
a) not proportional
b) proportional; k = 
Step-by-step explanation:
a) for any proportional equation, the line must pass through the origin. The equation in a) is y = 4x + 1, and the '+1' is the y-intercept. This means that the line does not pass through the origin, so x and y cannot increase by the same amount (i.e. they are not proportional).
Another way to determine this is is to use the y = kx base. If you have an equation that fits that it's likely proportional.
Here, if the equation was only y = 4x then it'd be proportional because u can see that k = 4. This is not the equation though, and the 4x + 1 doesn't fit to the y = kx formula so it can't be proportional.
b) straight away you can see that there's no 'c' term (y = mx + c) which means the y-intercept is 0, so the line passes through the origin. While this does not immediately mean the line is proportional, you can make sure that it is by checking it fits with the y = kx equation.
y = -(3/5)x fits with y = kx, with k being -3/5
I think that C and D are the correct answers
The fourth table is the correct answer