Answer:
y = 1/2x - 4
Step-by-step explanation:
If two lines are perpendicular to each other, they have opposite slopes.
The first line is y = -2x + 8. Its slope is -2. A line perpendicular to this one will have a slope of 1/2.
Plug this value (1/2) into your standard point-slope equation of y = mx + b.
y = 1/2x + b
To find b, we want to plug in a value that we know is on this line: in this case, it is (4, -2). Plug in the x and y values into the x and y of the standard equation.
-2 = 1/2(4) + b
To find b, multiply the slope and the input of x (4)
-2 = 2 + b
Now, subtract 2 from both sides to isolate b.
-4 = b
Plug this into your standard equation.
y = 1/2x - 4
This equation is perpendicular to your given equation (y = -2x + 8) and contains point (4, -2)
Hope this helps!
Answer:
When answering this, you need to look at the equation. It has a Y-intercept of 3. Just by seeing that, you can tell the last graph is the right answer.
Step-by-step explanation
Y-intercept is +3 which means it the line crosses the y axis at positive 3.
Answer:
The number of dimes is 3n - 8
Step-by-step explanation:
Here, we are interested in writing an expression for the number of dimes.
We proceed as follows;
Now, there are n nickels with the number of dimes been 8 less than 3 times the number of nickels
That would be;
3(n) -8 = 3n -8
