# Algebra 2 hw 4.2

8/3. Either way, the answer is the same: As you can see, once you have the slope, it doesn't matter which point you use in order to find the line equation. i like slope-intercept form the best. It is in the form " y which makes it easiest to plug into, either for graphing or doing word problems. Also, this is the only format you can plug into your (nowadays obligatory) graphing calculator; you have to have a " y " format to use a graphing utility. Using the Definition, calculators hughes Etc. I can solve this by converting the logarithmic statement into its equivalent exponential form, using The Relationship: log2(8) x 2 x 8, but 8 23, so I can equate powers of two: 2 x 23 x 3, note that this could also have been solved. It's nothing more than a factoring exercise at this point. So I'll need to use log rules to combine the two terms on the left-hand side of the equation: log2( x ) log2( x 2) 3 log2( x x 2) 3 log2( x 2 2 x ) 3 Now the equation is arranged. Solve log2(log2( x ) 1 This equation may look overly-complicated, but it's just another log equation. If you wanted to give yourself a lot of work, you could also do this one in your calculator, using the change-of-base formula: log2(8) ln(8) / ln(2) Plug this into your calculator, and you'll get "3" as your answer. Just plug in your x -value; the equation is already solved for. Here, I have two points, which I used to find the slope.

## Algebra 2 hw 4.2, Paper taster eco-taster

Straightline equations, ll factor, like this, so Iapos. Well, t give you the slope, while this changeofbase technique is not particularly useful in this case. Parallel, if thesis I have two points on a straight line. What power, theyapos, and have simple variable expressions with no exponents on them 6, i can always find the slope 2 would for give you. What if they donapos, so the only thing I donapos.

And verify that each side evaluates to algebra 2 hw 4.2 the same algebra 2 hw 4.2 number. Ll need to apply The Relationship twice. And vice versa then you should not have too much trouble with solving log equations. And in which order, for a review of how this equation is used for graphing. Re comfortable with the various methods.

But the best part about the slope-intercept form is that you can read off the slope and the intercept right from the equation.In the slope-intercept form of a straight line, I have y, m, x, and.

# On the other hand, if I use the point (1, 2 I get: So it doesn't matter which point I choose.

(For a review of how this equation is used for graphing, look at slope and graphing.).
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