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.
The equation of the line is written in the slope-intercept form, which is: y = mx + b, where m represents the slope and b represents the y-intercept. In our equation, y = − 3 x + 5 , we see that the slope of the line is − 3 .
So let's start by writing the equation in point slope form. So all we need to do is replace y1 withMoreSo 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.
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).
There are several orders in which you can accomplish the steps needed to change from point-slope to general form, but basically: subtract m(x-x1) from both sides: y - y1 -m(x - x1)= 0. distribute m, yielding y - y1 -mx +mx1 = 0. combine the constants y1 and mx1. Rearrange the order so you have -mx +y +(mx1-y1)=0.
We can rewrite an equation in slope-intercept form (y=mx+b) to be in standard form (Ax+By=C) instead.
The form y=mx+b means slope m and y-intercept b; similarly, the form y=mx+a means slope m and y-intercept a. The form y=m(x-a) is essentially different from the other two forms, and means slope m and x-intercept (instead of y-intercept) a.
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.