The graph of the equation y = -20 is a ____________ line.
The graph of the equation y = -20 is a horizontal line.
Use the graph to identify the x- and y- intercepts or state that there is no x- or y-intercept.
Question 1 options:
A) x-intercept = -2; y-intercept = 8
B) x-intercept = -8; y-intercept = 8
C) x-intercept = 2; y-intercept = -8
D) x-intercept = 2; y-intercept = 8
The equation y = -20 represents a horizontal line that passes through the y-axis at y = -20. Since this line is parallel to the x-axis, it does not intersect the x-axis, so there is no x-intercept. Therefore, the correct answer is:
C) There is no x-intercept. The y-intercept is y = -20.
Solve the equation using both the addition and multiplication properties of equality.
5x - 8 = 56 - 3x
To solve the equation 5x - 8 = 56 - 3x using the addition and multiplication properties of equality, we will first use the addition property to isolate the variable terms on one side of the equation.
First, we can add 3x to both sides of the equation to eliminate the variable term on the right side:
5x - 8 + 3x = 56 - 3x + 3x
Simplifying this equation, we get:
8x - 8 = 56
Next, we use the addition property to add 8 to both sides of the equation to eliminate the constant term on the left side:
8x - 8 + 8 = 56 + 8
Simplifying this equation, we get:
8x = 64
Now, we can use the multiplication property of equality to solve for x. We will multiply both sides of the equation by the reciprocal of the coefficient of x, which is 1/8:
(1/8)(8x) = (1/8)(64)
Simplifying this equation, we get:
x = 8
Therefore, the solution to the equation 5x - 8 = 56 - 3x is x = 8.
Find the x-intercept and the y-intercept of the graph of the equation. Do not graph the equation.
-2x + 2y = 10
To find the x-intercept, we set y = 0 and solve for x.
-2x + 2(0) = 10
-2x = 10
x = 10 / -2
x = -5
So the x-intercept is -5.
To find the y-intercept, we set x = 0 and solve for y.
-2(0) + 2y = 10
0 + 2y = 10
2y = 10
y = 10 / 2
y = 5
So the y-intercept is 5.
Therefore, the x-intercept is -5 and the y-intercept is 5.
Solve the equation for y.
4x + y = 20
To solve the equation 4x + y = 20 for y, we need to isolate y on one side of the equation.
First, we can subtract 4x from both sides of the equation:
4x + y - 4x = 20 - 4x
Simplifying this equation, we get:
y = 20 - 4x
Therefore, the equation can be solved for y as y = 20 - 4x.