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 \(x=0\).