It is useful to have slopes in fractional form because it helps avoid rounding errors. For example, suppose y = 1/3*x + 5
Then for x = 3, y = 6
But if you write the slope as 0.33, then y = 5.99 - not 6.
Yes
Point slope form is standard form. To change point slope form into general form, simply multiply both sides by the denominator of the slope, and move everything onto one side.
Slope!
In the standard form of a linear equation:y = mx + bm is the slope* * * * *The above is the slope-intercept form, not the standard form, which isax + by + c = 0The standard form can be converted to the slope intercept form by rearranging, as follows:by = -ax - cso y = -(a/b)x -(c/b)And then, the slope (or gradient) is (-a/b).
The slope-intercept form of an equation is y = mx + b, where m is the slope and b is the y-intercept. Without the specific equation, it is not possible to determine the values of m and b for the slope-intercept form.
Yes
The slope can be a fraction.
Yes, the slope can be a fraction; and can be less than one or negative.
y = 12x or y = 12x + 0 This equation is in the form of slope-intercept form, y = mx + b, where m is the slope. Thus, the slope is 12.
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yes, slope can be fraction. It's like -1, -1/3 , 4/5 , 4 and so on.
Only if it happens to BE a whole number. As you probably know, you can't "convert" a fraction to a whole number, without losing precision. But the slope may well happen to be a whole number, such as 1, 2, 3, -1, etc. (or close enough to a whole number).
Why not? m=4/3 is a perfectly good slope
The equation for slope = rise / run
y = mx + b, just subtract mx to both sides -mx + y = b. If the slope is a fraction, it is nice to eliminate the denominator first, so go and multiply each term at both sides by the denominator. If both, the slope and the constant, are fractions, multiply each term at both sides by their least common denominator.
The slope is the rise/over run of a line. The equation of a line is usually written in the form y=mx+b where m is the slope and b is the y-intercept. To find the slope, you can take two points on a line, find how much the line goes up (or down) between the two, and divide it by how much the lines moves to the right. Usually the slope is left in the simplest fraction form.
Point slope form is standard form. To change point slope form into general form, simply multiply both sides by the denominator of the slope, and move everything onto one side.