Answer:

Step-by-step explanation:

The answer is A) h(x)= 1/2x-1/2
Answer:

Step-by-step explanation:
We are given;
- A point (6, -4)
- An equation of a line, 9x - 3y = 9
We are required to determine the equation a line passing through a point (6, -4) and perpendicular to the given line;
- To answer the question we need to get the gradient of the given line first.
- We write the equation 9x - 3y = 9 in the form of y = mx + c, where m is the slope;
y = 3x -3
- Thus, the slope of the line is 3
But; m₁ × m₂ = -1 (For perpendicular lines)
Therefore;
m₂ = -1 ÷ 3
= -1/3
Therefore, the slope of the line in question is -1/3 and the line passes through (6, -4).
To get its equation, we get another point (x, y)
Then;

Thus;

In the form of slope-intercept, the equation will be;

Thus, the equation of the line is;

Answer:
y = 57 - 3x
Step-by-step explanation:
Alice collected 57 skipping stones. And she skipped 3 stones a minute on her pond.
So. if y represents the number of stones left to her and x represents the number of minutes, then by the condition given we can write
y = 57 - 3x ..... (1)
So, this is equation of a straight line in the slope-intercept form. (Answer)