91Ó°ÊÓ

Write the equation of a line passing through points \(\mathrm{P}_{1}(5,10)\) and \(\mathrm{P}_{2}(0,4)\) in (1) Point - slope form (2) Slope - intercept form (3) Two-point form (4) Intercept form (5) Form of general equation for straight lines.

Determine the constant \(\mathrm{A}\) so that the lines \(3 \mathrm{x}-4 \mathrm{y}=12\) and \(\mathrm{Ax}+6 \mathrm{y}=-9\) are parallel.

Find the slope, the \(\mathrm{y}\) -intercept, and the \(\mathrm{x}\) -intercept of the equation \(2 \mathrm{x}-3 \mathrm{y}-18=0\)

The equation \(\mathrm{F}=(9 / 5) \mathrm{C}+32\) relates the Fahrenheit and centigrade temperature scales. What do the numbers \((9 / 5)\) and 32 represent?

The slope and one point of a line are given. Is the Y-intercept positive or negative? (a) \(\mathrm{m}=(22 / 7),(1, \pi)\) (b) \(\mathrm{m}=\sqrt{2},(1,1.414)\)

Find the equation for the line passing through \((3,5)\) and \((-1,2)\).

Find the equation of the line which passes through the points \((-3,1)\) and \((7,11) .\)

(a) Find the equation of the line passing through \((2,5)\) with slope 3 . (b) Suppose a line passes through the \(\mathrm{y}\) -axis at \((0, \mathrm{~b})\). How can we write the equation if the point-slope form is used?

Find the equation of the line passing through the points \((2,5)\) and \((6,2)\). Check the results graphically.

If \(\mathrm{f}(\mathrm{x})=-2 \mathrm{x}-5\), find the (a) slope, (b) \(\mathrm{x}\) -intercept, and (c) \(\mathrm{y}\) -intercept. (d) Graph the function.