So let's replace y with negative five let's plug in three over two for m. And let's replace x withMoreSo let's replace y with negative five let's plug in three over two for m. And let's replace x with four. And then we can isolate b.
Since we have a graph, we can find the slope using rise over run, 6 2 = 3 and the y-intercept is (0, 6). The equation of the line, in slope-intercept form, is y = 3 x + 6 . To change the equation to general (standard) form, subtract the x-term to move it over to the other side.
So anytime that you need to write an equation we always start out in point slope. Form. So pointMoreSo anytime that you need to write an equation we always start out in point slope. Form. So point slope. Form here's our X1 y1 we're going to do y. Minus that y1 which is 1 so y + 1 equals our slope.
Lesson Summary The slope in math is denoted by m. The standard form equation for finding the slope of a line is: Ax + By = C. The slope from the standard form equation is: m = -A/B. The slope intercept equation is: y=mx+b. The point slope equation is:
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..
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.
Now let's kind of review slope intercept form real quickly that is y equals MX plus b. Now point-MoreNow let's kind of review slope intercept form real quickly that is y equals MX plus b. Now point-slope form is going to have the form y.
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.