In mathematical terms, the slope is the rate of change of y with respect to x. When dealing with linear equations, we can easily identify the slope of the line represented by the equation by putting the equation in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.
Point-slope form: y-a = m(x-b). For example, your slope (m) is 3 and your point (a,b) is 9,10. You would substitute your y-coordinate for a, and your x- coordinate for b. Your new equation would look like this: y-10 = 3(x-9).
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.
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.
Thus, to convert to point-slope form, first convert to slope-intercept form, then move the constant term b to the left side of the equation (or isolate x and then divide by the y coefficient). Example: Convert 3x = 4y + 8 to point-slope form.
But when we move it to the right. Side. It's going to become -2X so let's go ahead and do that. SoMoreBut when we move it to the right. Side. It's going to become -2X so let's go ahead and do that. So this is going to be Y is equal to -2x + 3 the Y variable is still on the left.
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 .