The slope, or steepness, of a line is found by dividing the vertical change (rise) by the horizontal change (run). 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.
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.
How 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.
So I use a point. And I'll use that point to give me. 10. Which confirms that b equals negative 7.MoreSo I use a point. And I'll use that point to give me. 10. Which confirms that b equals negative 7. So now when I finally want to write this equation.
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.
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..
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 general form of the equation of a line ? ? + ? ? + ? = 0 is closely related to its standard form: ? ? + ? ? = ? , where ? , ? , and ? are integers and ? is nonnegative. We can convert the standard form into general form by subtracting the constant ? from both sides of the equation.