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Answer 1

Answer:

The answer is F. -2

Step-by-step explanation:

Turn our given equation for line q into slope-intercept form.

−2x+y=1

y=2x+1

Now, we are told that the angles the lines form are congruent. In this case, the slopes of the lines will be inverses of one another [Note: perpendicular lines have opposite reciprocal slopes, so do not confuse this].

Having already established that the slope of line q is 2, line r must have a slope of -2.

The final answer is F, -2

Hope this helps! ^w^

Answer 2

The slope of line r is -1/2

The equation of line q is given as

$-2x + y =1$

Make y the subject

$y =1 + 2x$

Rewrite the equation, as follows:

$y =2x + 1$

The slope of the above equation is:

$m = 2$

Line r is perpendicular to line q.

So, the slope (m2) of line r is calculated as:

$m_2 = -\frac 1m$

This gives

$m_2 = -\frac 12$

Hence, the slope of line r is -1/2

Read more about slopes at:

https://brainly.com/question/1884491