Determine, without graphing, whether the graphs of the given equations are parallel, perpendicular, or neither. Explain your r

Question

2 years ago

6

easoning. y=x+10 y=-x+5

1 answer:

Inessa05 [86] · Answer 1 · 2024-02-22T19:49:10+03:00

The graphs of the given equations are parallel.

<h3>What is the slope-intercept form of a line?</h3>

The slope-intercept form of a line is y = mx +c where m is the slope of the line and c is the y-intercept.

The given equations are y = x +10 and y = x+5.

The equations are in the slope-intercept form of y = mx +b.

Therefore, the slopes of both lines are 1.

Two lines are parallel if they have the same slope.

Therefore, the graphs of the given equations are parallel.

To learn more about the slope-intercept form of a line, click here:

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Determine, without graphing​, whether the graphs of the given equations are​ parallel, perpendicular, or neither. Explain your r