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Given two points on a line, we can write an equation for that line by finding the slope between those points, then solving for the y-intercept in the slope-intercept equation y=mx+b. In this example, we write an equation of the line that passes through the points (-1,6) and (5,-4).
Form now let's convert it to standard form in standard form the X and the Y variables have to be onMoreForm now let's convert it to standard form in standard form the X and the Y variables have to be on the same. Side. So we need to move the 2x to the left. Side. If we subtract both sides by 2x. We're
It. Positive over 6 which equals uh divide you'll have a -4/3. So now we know m. Equal a -4/3. SoMoreIt. Positive over 6 which equals uh divide you'll have a -4/3. So now we know m. Equal a -4/3. So when writing my equation using my point slope form I'm going to now put -4/3 in for M.
Negative 12. And then you can simply subtract 6. And then change all of the sides. So hopefully byMoreNegative 12. And then you can simply subtract 6. And then change all of the sides. So hopefully by now you can take an equation that's written in point slope form.
In general form they would be the same. So you can use whichever you prefer. So I'm going to say yMoreIn general form they would be the same. So you can use whichever you prefer. So I'm going to say y minus 6. Equals now my slope is up here negative eight over three times x minus X1 was 1..
So let's go ahead and plug the values in into this formula. So let's replace y2f9. And y1 with oneMoreSo let's go ahead and plug the values in into this formula. So let's replace y2f9. And y1 with one x2 is two and let's replace x1 with negative two. So we have nine minus one which is eight.
Answer so this is the equation. In point slope. Form. But now let's get the answer in slopeMoreAnswer so this is the equation. In point slope. Form. But now let's get the answer in slope intercept. Form. So let's distribute the two. It's going to be 2X. And then 2 -5 that's -10.
The two-point form of a line is used for finding the equation of a line given two points (x1,y1) ( x 1 , y 1 ) and (x2,y2) ( x 2 , y 2 ) on it. The two point-form of a line is:y−y1=y2−y1x2−x1(x−x1) y − y 1 = y 2 − y 1 x 2 − x 1 ( x − x 1 ) OR y−y2=y2−y1x2−x1(x−x2) y − y 2 = y 2 − y 1 x 2 − x 1 ( x − x 2 ) .
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The Census recently released town-by-town income data showing Wayne Township with the highest median in the county at $147,740, which ranks 115th statewide. New Jersey has the highest median income in the nation at $96,346, the new Census data for 2022 shows.