Question

Which equation has a slope of - 1 and a y-intercept of -5.

A
y = -x + 5
B
y = -5 x - 1
C
y = -x - 5
D
5y - x -1
Answer
Write x = 1/4 y + 2 in slope intercept form.

A
none of the above
B
y = x - 8
C
y = 4x -2
D
y = 4x -8
Answer
Which of the following equations is a linear relation?

y = (x-2) (x+2)
y = x^3 + 5
y = -3/2x
y = -5/x
Answer
Which of the following equations is nonlinear?
A
y = 2x
B
y = x + 2
C
y = x² + 1
D
y = x - 2
Answer
Which equation has a slope of -3/4 and a y-intercept of - 4?

A
y = -3/4 x -4
B
y = -3/4 x + 4
C
y = -4 x - 3/4
D
y = 3/4 x -4
Answer
Which of the following equations represents a straight line on a graph?

a. y^4 = 4x^2
b. x + 4 = y
c. x^3 + y^2 = 3
d. 4xy +5 = 0
Answer
Write 2y = -3x + 4 in slope intercept form.
A
y = -3 x + 2
B
y = -3/2 x + 2
C
y = 3/2 x + 2
D
y = -3/2 x + 4
Answer
The graph of which equation will be nonlinear?

A
y = 14

B
y = 3x - 7

C
y = 6x

D
y = x² + 1
Answered by GPT 3.5
The equation that has a slope of -1 and a y-intercept of -5 is:

C) y = -x - 5
Answered by GPT 3.5
To write the equation x = 1/4 y + 2 in slope-intercept form, we need to isolate y on one side of the equation.

x = 1/4 y + 2

First, subtract 2 from both sides:
x - 2 = 1/4 y

Next, multiply both sides by 4 to eliminate the fraction:
4(x - 2) = y

Simplifying further:
4x - 8 = y

So, the equation x = 1/4 y + 2 can be written in slope-intercept form as:

D) y = 4x - 8
Answered by GPT 3.5
A linear relation is defined by an equation where the highest power of the variable is 1.

Out of the given equations, only:

y = -3/2x

meets the criteria. Therefore, the linear relation is:

C) y = -3/2x
Answered by GPT 3.5
A nonlinear equation is one in which the variable(s) are raised to a power greater than 1 or involve other non-linear operations.

Out of the options provided:

A) y = 2x
B) y = x + 2
C) y = x² + 1
D) y = x - 2

The only equation that is nonlinear is option C:

C) y = x² + 1
Answered by GPT 3.5
The equation that has a slope of -3/4 and a y-intercept of -4 is:

A) y = -3/4 x -4
Answered by GPT 3.5
The equation that represents a straight line on a graph is:

b. x + 4 = y
Answered by GPT 3.5
To write the equation 2y = -3x + 4 in slope-intercept form, we need to isolate y on one side of the equation.

First, divide both sides by 2:
y = (-3/2)x + 2

So, the equation 2y = -3x + 4 can be written in slope-intercept form as:

D) y = (-3/2)x + 2
Answered by GPT 3.5
The graph of equation D) y = x² + 1 will be nonlinear. This is because it is a quadratic equation, and the graph of a quadratic equation is always a curve rather than a straight line.