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Finding the Equation of a Line

Find the equation of each line in the form y = mx + b if possible. The line through the origin that is perpendicular to the line through (-3, 0) and (0, -3)

How do you find the equation of a line?

Write an equation in slope-intercept form, if possible, for each line. 1. The line through (0, -2) that is parallel to the line y = -1/3x + 6. 2. The line through (0, 4) with slope -1/2.

Find the line through (-2,5) with slope -1.

Find the line through (-2,5) with slope -1. The solution of this problem which is given in the attached solution file gives a very clear and easy approach of solving this type of solutions and the students can use this solution as a model to solve other similar problems.

Solving Differential Equations

Please help solve this seperable equation and a possible suggestion on how to look for factors to multiply by in order to make it exact. (x+y)dx - xdy = 0

What is the hottest temperature reached?

The temperature inside a kiln used to bake clay pottery is given by T(x) = -0.4x^2 + 32x + 73 degrees F where x is the number of minutes the kiln is on and 0 <= x <=80. (see equation in attached file)

Solving Equations

Find all real and imaginary solutions to the equation. 49x^2 + 9 = 42x

Finding the Equation of a Circle

Find the equation of the circle that passes through the origin and has intercepts equal to 1 and 2 on the x- and y- axes, respectively.


Factor: 3x^2 - 11 xy - 20 y^2 keywords: factoring expressions

Solving Equations

Solve y^2=30 where y is a real number. Simplify your answer as much as possible. (If there is more than one solution, separate them with commas).

Solving Equations

Find all values of w which satisfy the equation w+2 w-1 --------- = --------- + 1 w-1 w+5 (If there is more than one solution, separate them with commas)


Multiply: (4u - w + 3)(3u + 3w - 2) Simplify your answer as much as possible

Writing in a + bi Form

Question: Consider the following expression: -3i(4i - 1), a and b are real numbers. Write in the form a + bi.


-3/2 -25 Simplify each expression. Write your answers with positive exponents. Assume that all variables represent positive real numbers.

The Stabilization Ratio (births/deaths) for South and Central America

The stabilization ratio (births/deaths) for South and Central America can be modeled by the formula y = -0.0012x^2 + 0.074x + 2.69 where y is the number of births divided by the number of deaths in the year 1950 + x a) use a graph to estimate the year in which the stabilization ratio was at its maximum. b) use the formula to