Writing Two-Variable Linear Equations Answers

The line that passes through the point (2, −8) and has a slope of −1 is given by the equation y + [___] = [___](x − [___]).

Which of the following equations represent a line that has a slope of –5 and that passes through (2, –6)? Check all of the boxes that apply.y + 6 = –5(x – 2)y – 2 = –5(x + 6)y = –5x + 4y = –5x – 28

y = [___]x + [___]

Select the three equations that pass through the points (–4, –16) and (5, 2):y + 4 = 2(x – 16)y – 2 = 2(x – 5)y = 2x – 8y + 16 = 2(x + 4)

The slope-intercept form of its equation is .

The point-slope form of its equation is .

Six years after a tree was planted, its height was 7 feet. Nine years after it was planted, its height was 16 feet. Which of the following equations gives the height y, in feet, of the tree after x years if the tree grows at a constant rate? Check all of the boxes that apply.y – 6 = 3(x – 10)y – 16 = 3(x – 9)y = 3x – 11y = –3x – 23

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The line y = [___]x + [___] passes through (−3, 7) and is parallel to y = 4x − 1.

The slope of line p is X –2–1/21/22.

Explain how you would write a two-variable linear equation for this situation.

Which of the following did your explanation include? Check all of the boxes that apply.The relationship is between the days that have gone by and the number of petri dishes.The point (0, 185) means that if 0 days have gone by there are 185 petri dishes.The number of petri dishes decreases by 12 each day, so the slope is –12.Use the slope-intercept form to write the equation y = –12x + 185.

Describe how you would write the equation for the relationship between the number of photos ordered and the amount paid.