91Ó°ÊÓ

Find an equation for the line satisfying the given conditions. Through (-2,1) with slope 3.

Sketch the graph of the equation. Label the \(x\) - and y-intercepts. $$(x-5)^{2}+(y+2)^{2}=5$$

Find an equation for the line satisfying the given conditions. \(x\) -intercept 5 and \(y\) -intercept -5.

Simplify the expression without using a calculator. Your answer should not have any radicals in it. $$\sqrt{\frac{3}{5}} \sqrt{\frac{12}{5}}$$

Find an equation for the line satisfying the given conditions. Through (-1,3) and perpendicular to the line through (0,1) and (2,3).

Determine whether each point lies inside, or outside, or on the circle $$(x-1)^{2}+(y-3)^{2}=4$$ (a) (2.2,4.6) (b) (-.2,4.7) (c) (-.1,1.4) (d) (2.6,4.3) (e) (-.6,1.8)

Simplify, and write the given number without using absolute values. $$3-|2-5|$$

Find the equation of the circle. Center (2,-6)\(;\) tangent to the \(y\) -axis.

At sea level, water boils at \(212^{\circ} \mathrm{F}\). At a height of 1100 feet, water boils at \(210^{\circ} \mathrm{F}\). The relationship between boiling point and height is linear. (a) Find an equation that gives the boiling point \(y\) of water at a height of \(x\) feet. Find the boiling point of water in each of the following cities (whose altitudes are given). (b) Cincinnati, OH ( 550 feet) (c) Springfield, MO (1300 feet) (d) Billings, MT ( 3120 feet) (e) Flagstaff, AZ (6900 feet)

Find the equation of the circle. Endpoints of a diameter are (-3,5) and (7,-5).