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Problem 54

What is the slope of a line whose graph is parallel to the graph of \(3 x+y=7 ?\) Perpendicular to the graph of \(3 x+y=7 ?\)

Problem 55

Concept Check In Exercises \(55-62,\) describe what the graph of each linear equation will look like in the coordinate plane. (Hint: Rewrite the equation if necessary so that it is in a more recognizable form.) $$3 x=y-9$$

Problem 55

Write an equation for each line passing through the given point and having the given slope. Give the final answer in slope-intercept form. $$ (9,3), m=1 $$

Problem 55

If two lines are both vertical or both horizontal, which of the following are they? A. Parallel B. Perpendicular C. Neither parallel nor perpendicular

Problem 56

If a line is vertical, what is true of any line that is perpendicular to it?

Problem 56

Concept Check In Exercises \(55-62,\) describe what the graph of each linear equation will look like in the coordinate plane. (Hint: Rewrite the equation if necessary so that it is in a more recognizable form.) $$ 2 x=y-4 $$

Problem 56

Write an equation for each line passing through the given point and having the given slope. Give the final answer in slope-intercept form. $$ (8,4), m=1 $$

Problem 57

Concept Check In Exercises \(55-62,\) describe what the graph of each linear equation will look like in the coordinate plane. (Hint: Rewrite the equation if necessary so that it is in a more recognizable form.) $$ x-10=1 $$

Problem 57

Write an equation for each line passing through the given point and having the given slope. Give the final answer in slope-intercept form. $$ (-4,1), m=\frac{3}{4} $$

Problem 57

For each pair of equations, give the slopes of the lines and then determine whether the two lines are parallel, perpendicular, or neither. See Example 6. $$ \begin{aligned} &2 x+5 y=4\\\ &4 x+10 y=1 \end{aligned} $$

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