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Consider the following equations:

y = -3

x = 4

y = x²

y = 5x

y + x = 6

Which of the equations are:

a. A horizontal line?


b. A vertical line?


c. A sloping line?


d. Not a straight line?

User Madi
by
8.4k points

1 Answer

4 votes

Answer:

see explanation

Explanation:

(a)

A horizontal line has equation

y = c ( c is the value of the y- coordinates the line passes through ), then

y = - 3 ← is the equation of a horizontal line

(b)

A vertical line has equation

x = c ( c is the value of the x- coordinates the line passes through ) , then

x = 4 ← is the equation of a vertical line

(c)

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 5x ← is in this form

y + x = 6 ( subtract x from both sides )

y = - x + 6 ← is in this form

then

y = 5x and y + x = 6 ← are sloping lines

(d)

y = x² is a quadratic

the graph of a quadratic is a curve with a maximum / minimum vertex

y = x² ← is not a straight line

User Rob Hruska
by
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