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.
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..
These are the two methods to finding the equation of a line when given a point and the slope: Substitution method = plug in the slope and the (x, y) point values into y = mx + b, then solve for b. Point-slope form = y − y 1 = m ( x − x 1 ) , where ( x 1 , y 1 ) is the point given and m is the slope given.
Answer: The equation of a line in standard form is Ax+By=C , where A , B , and C are integers, A>0 , and both A and B are not zero.
That means this will be x sub. One this will be y sub one and this will be x sub 2 and this is y subMoreThat means this will be x sub. One this will be y sub one and this will be x sub 2 and this is y sub. 2. So for our line Y sub 2 minus y sub 1 would be 5 - -2 / x sub 2 - x sub 1 that would be 6. - 4.
This is going to be one plus one or two. So the slope of the line is equal to three. So againMoreThis is going to be one plus one or two. So the slope of the line is equal to three. So again referring back to slope intercept. Form we know the equation must be y equals three x plus b.
Final answer: The equation in standard form for the line passing through the points (3,0) and (0,-7) is y = (7/3)x - 7.
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.
If given two points, first find the slope (m) of the line that contains the points. Then write an equation in slope-intercept form (y=mx+b) and substitute in the x and y values for one of the points to find the y-intercept (b). Then convert to standard form (Ax+By=C) by subtracting the (mx) term from each side.
Steps to find the equation of a line from two points: Find the slope using the slope formula. Use the slope and one of the points to solve for the y-intercept (b). Once you know the value for m and the value for b, you can plug these into the slope-intercept form of a line (y = mx + b) to get the equation for the line.