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.
So we have our X1 and our y1 values. So let's start by writing the equation in point slope form. SoMoreSo we have our X1 and our y1 values. So let's start by writing the equation in point slope form. So all we need to do is replace y1 with positive five M with negative 2 and X1 with negative four.
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..
The formula is slope =(y₂ - y₁)/(x₂ - x₁), where (x₁, y₁) and (x₂, y₂) are the coordinates of two points on the line.
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.
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.
Point-slope is the general form y-y₁=m(x-x₁) for linear equations. It emphasizes the slope of the line and a point on the line (that is not the y-intercept). We can rewrite an equation in point-slope form to be in slope-intercept form y=mx+b, to highlight the same line's slope and y-intercept.
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.
I have a negative 6 plus b so to undo that i need to add a 6 to both sides. So i have 11 equals b.MoreI have a negative 6 plus b so to undo that i need to add a 6 to both sides. So i have 11 equals b. Then plug in your new slope which was m. Which was 2. And your new y-intercept.