Question 1204563: Write an equation of the line that passes through the pair of points.
(−2, −3), (4, 5) Found 3 solutions by josgarithmetic, mananth, greenestamps:Answer by josgarithmetic(39618) (Show Source):
You can put this solution on YOUR website! Too routine, and instructional textbooks for the examples are plentiful. Too many of these examples have already been solved at www . algebra . com
Here is any of them in general.
Points on a line, (p,v) and (h,k)
Using point-slope form ----------which on its way but not quite slope-intercept form, if that were what
you wanted. You would substitute your given values and simplify. You would want to correspond
with y=mx+b.
You can put this solution on YOUR website! Write an equation of the line that passes through the pair of points.
(−2, −3), (4, 5)
Write an equation of the line that passes through the pair of points.
Let P (−2, −3)(x1,y1) and ,Q (4, 5),(x2,y2)
The equation of line passing through two points is
plug the values
The responses from both of the other tutors say to plug numbers into a formula that gives you the equation of a line passing through two given points.
If you are in a job where you have to do that 50 times a day, then having a formula to plug numbers into is useful.
But plugging numbers into a formula doesn't teach you much. And what if you are a beginning student and are not familiar with the formula and accidentally plug the numbers in the wrong places?
Assuming you are a student just starting to learn algebra, it is best if you work the problem using basic ideas.
To find the slope of the line, I strongly recommend using "rise over run" with a mental (or paper and pencil) sketch of the given points -- instead of using the ubiquitous formula for calculating the slope.
The run (change in x) is 6, from -2 to 4; the rise is 8, from -3 to 5. So the slope "rise over run" is 8/6 or 4/3.
Then I think the most instructional way to find the equation is to use the slope-intercept form of the equation with one of the given points to find the intercept. Using (x,y)=(4,5):
One form of the equation is then
You can of course write the equation in equivalent forms. Multiplying by 3 to clear the fractions...
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