Which best names the quantity 1/2 in the linear equation shown?
y = -2x + 1/2
a.) The y-intercept ********
b.) The slope
c.) The dependent variable
d.) The x-intercept
Kevin plotted a linear equation on a graph with 18 as the y-intercept. Which of following could be the equation plotted by Kevin?
a.) 1/2y = 9x + 5
b.) 3x = 6 -1/3y
c.) 4x + 18y = 21********
d.) 7x + 2y = 38
(1/3) y = -3 x + 6
multiply both sides by 3
y = -9 x + 18
^^^^^ for what # ?
Now Wendy, look at your second problem
Kevin plotted a linear equation on a graph with 18 as the y-intercept. Which of following could be the equation plotted by Kevin?
a.) 1/2y = 9x + 5
b.) 3x = 6 -1/3y < ---------- YES
c.) 4x + 18y = 21******** NO
d.) 7x + 2y = 38
OK, Thanks.
You are welcome :)
To determine the quantity 1/2 in the linear equation y = -2x + 1/2, let's break down the equation:
- The term "-2x" represents the coefficient of the variable x, which is the slope of the line. This term indicates that for every unit increase in x, y will decrease by 2 units.
- The term "1/2" is the constant term in the equation. It is not directly associated with x or y but rather acts as a y-intercept. The y-intercept is the value of y when x is equal to zero. In this equation, when x is zero, y is equal to 1/2.
Therefore, the correct answer is: a.) The y-intercept
Now let's solve the second question:
- The given equation is: 4x + 18y = 21
To check if this equation could be plotted by Kevin with a y-intercept of 18, we need to determine the y-intercept in the given equation.
To find the y-intercept:
1. Substitute x = 0 into the equation.
2. Solve for y.
When x = 0:
4(0) + 18y = 21
0 + 18y = 21
18y = 21
y = 21/18
y = 7/6
The y-intercept is 7/6, not 18. Therefore, option c.) 4x + 18y = 21 is not a possible equation plotted by Kevin.
The correct answer is: c.) 4x + 18y = 21