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Problem 27

(a) identify the slope. (b) identify the \(y\)-intercept. Write the ordered pair, not just the \(y\)-coordinate. (c) find the \(x\)-intercept. Write the ordered pair, not just the \(x\)-coordinate. $$ y=-5 x+10 $$

Problem 28

(a) find the y-intercept. (b) find the x-intercept. (c) find a third solution of the equation. (d) graph the equation. \(x-y=-3\)

Problem 28

A line passes through the given points. (a) Find the slope of the line. (b) Write the equation of the line in slope-intercept form. $$ (-6,30) ;(-14,24) $$

Problem 33

Graph each ordered pair on a coordinate system. Label the axes; write a scale for each axis. \((-3,100)\)

Problem 35

(a) rewrite the equation in slope-intercept form. (b) identify the slope. (c) identify the \(y\)-intercept. Write the ordered pair, not just the \(y\)-coordinate. (d) find the \(x\)-intercept. Write the ordered pair, not just the \(x\)-coordinate. $$ x-y=6 $$

Problem 36

(a) find the y-intercept. (b) find the x-intercept. (c) find a third solution of the equation. (d) graph the equation. \(x+4 y=12\)

Problem 39

Use the slope formula to find the slope of the line that passes through the points. \((5,10) ;(7,16)\)

Problem 43

Explain why \((0,0)\) is often a good choice for a test point when graphing an inequality.

Problem 49

Assign one variable, and write an inequality that represents the constraint. Directors on the board of directors of a corporation must acquire and maintain a minimum ownership of 2500 shares of the corporation's stock.

Problem 49

Evaluate \(y=6 x-8\) when \(x=0\).

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