91Ó°ÊÓ

Find the slope of the line passing through each pair of points or state that the slope is undefined. Then indicate whether the line through the points rises falls, is horizontal, or is vertical. $$(2,1) \text { and }(3,4)$$

Use the given conditions to write an equation for each line in point-slope form and slope-intercept form. Passing through \((-2,-7)\) and parallel to the line whose equation is \(y=-5 x+4\)

In Exercises 19-24, write an equation in slope-intercept form of a linear function \(f\) whose graph satisfies the given conditions. The graph of \(f\) passes through \((-1,5)\) and is perpendicular to the line whose equation is \(x=6\).

The bar graph shows that as costs changed over the decades, Americans devoted less of their budget to groceries and more to health care. (Graph cannot copy) In Exercises 25-26, find a linear function in slope-intercept form that models the given description. Each function should model the percentage of total spending, \(p(x),\) by Americans \(x\) years after \(1950 .\) In 1950 , Americans spent \(22 \%\) of their budget on food. This has decreased at an average rate of approximately \(0.25 \%\) per year since then.

Evaluate each function at the given values of the independent variable and simplify. $$ g(x)=x^{2}+2 x+3 $$ a. \(g(-1)\) b. \(g(x+5)\) c. \(g(-x)\)

write the standard form of the equation of the circle with the given center and radius. $$ \text { Center }(-3,5), r=3 $$

Determine whether each statement makes sense or does not make sense, and explain your reasoning. The graph of my function is not a straight line, so I cannot use slope to analyze its rates of change.

give the center and radius of the circle described by the equation and graph each equation. Use the graph to identify the relation's domain and range. $$ x^{2}+y^{2}=16 $$

Determine whether each statement makes sense or does not make sense, and explain your reasoning. According to the Blitzer Bonus on page \(266,\) calculus studies change by analyzing slopes of secant lines over successively shorter intervals.

give the center and radius of the circle described by the equation and graph each equation. Use the graph to identify the relation's domain and range. $$ x^{2}+y^{2}=49 $$