SOLUTION: my question is I need to write the equation for the line satisfying the given information, then write it in slope-intercept form. Graph the equation, and show both of the intercept

Question 41518: my question is I need to write the equation for the line satisfying the given information, then write it in slope-intercept form. Graph the equation, and show both of the intercepts.
Passes through the points (10,42.3)(20,51.5)
Passes through through the points(100,2.2)(150,1.9)
passes through the poins(1/2,-1/2) with slope 1/2
passes through the points(-10.4,0.3)(5,34,000)
Answer by psbhowmick(878) (Show Source): You can put this solution on YOUR website!
For determination of the equation of a straight line passing through two points, whose coordinates are given, see my answer to this question.

http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=41158

For the slope-intercept form of the straight line obtained as above procede as follows. If the equation be ax + by + c = 0 (in general form), then take the whole part of the equation excepting the y-part on the right. Thus you have by = -ax - c. Now divide both sides by the coefficient of y. Thus we get . This is the slope intercept form of the st. line ax + by + c = 0 and its slope is and point of intersection with y-axis is (0,). To see an example refer to my solution to this question.

http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=40798

For expressing the equation of a straight line thus obtained in intercept form to find out the intercepts on the coordinate axes see my solution to this question.

http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=41324

Now, to find the equation of a st. line passing through a given point and having a given slope, follow the procedure below.
Here, we are reqd. to find a st. line whose slope is and which passes through the point (,).
Let the equation be y = mx + k where m = slope and k = intercept on y-axis.
So m = .
Hence y = x + k
or 2y = x + 2k
Now, this st. line passes through the point (,) so its equation must be satisfied by the coordinates of this point.
Hence,
or
or
Thus the reqd. equation of the given st. line is

or
or 2x - 4y = 3
Now, express this equation in intercept form and get the answer.

Draw the graphs yourself.
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