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What is the slope of a line that is parallel to the line shown in this graph?

5 answers

Since the line shown in the graph has a slope of 2, any line parallel to it will also have a slope of 2.
Which is the equation of a line that is parallel to the line represented by y=32x+5?

A.
y=−23x+5

B.
y=5x+32

C.
y=32x+7

D.
y=23x−7
The equation of a line parallel to y=32x+5 will have the same slope of 32, so the correct answer is:

C. y=32x+7
Which is the equation of a line that is parallel to the line represented by y2+x=6?

A.
y=−2x−6

B.
y=6x+2

C.
y=2x+6

D.
y=2x−6
To find the equation of a line parallel to y^2 + x = 6, we first need to rewrite the equation in the slope-intercept form y = mx + b.

Rearranging the given equation:
y^2 = -x + 6
y = sqrt(-x + 6)

Since this is a curve (y = sqrt(x)), there is no direct relationship to the slope-intercept form y = mx + b. Therefore, none of the given answer choices are equations of lines parallel to y^2 + x = 6.