We can rewrite an equation in slope-intercept form (y=mx+b) to be in standard form (Ax+By=C) instead. In this example, we rewrite the slope-intercept equation y=2/3x+4/7 in standard form.
To find the slope using a general or standard form equation, use the slope formula: m=-A/B where A and B are integer variables found in the equation. The m is the slope.
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 we have three is equal to twenty over three plus b. Now to solve for b it's helpful if we can getMoreSo we have three is equal to twenty over three plus b. Now to solve for b it's helpful if we can get rid of this fraction i'm gonna multiply everything by three.
The general form ax+by+c=0 is one of the many different forms you can write linear functions in. Other ones include the slope intercept form y=mx+b or slope-point form. We can convert the linear function among different forms.
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.
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.
And let's calculate the value of b negative five times negative four that's positive twenty. So weMoreAnd let's calculate the value of b negative five times negative four that's positive twenty. So we have three is equal to twenty over three plus b.
Point-slope appears in the form y-y1= m (x-x1). Take an example: y-5=15(x-2). This function has a slope of 15 and includes the point (2,5). To convert it to standard form (y=mx+b), you simply distribute the 15 to the terms in parentheses and then add 5 to both sides to isolate y.
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.