There is more than one "standard form". If the equation is not already solved for "y", solve it for "y". In that case, you'll get an equation of the following form (known as "slope-intercept form"):
y = mx + b
Where "m" is the slope of the line, and "b" is the y-intercept (the point where the line intercepts the y-axis).
slopeintercept equations are used to find the slope and intercept (obviously lol) they are set up like this y=mx+b m is the slope and b is the y-intercept lets say you have an equation like... 2x + y = 5 (now minus 2x from both sides) 2x - 2x + y = 5 - 2x (simplify) y = 5 - 2x just use algebra to turn the standard form to slope intercept form
When the slope is undefined, you know the line has to be vertical. Vertical lines only have an x in their equations. When you have the coordinates (2,4) with a vertical line, the equation for the slope intercept AND standard form would be the same thing: x=2
Not all linear equations can be directly expressed in point-slope form because this form requires a specific point on the line and the slope. However, some linear equations, like vertical lines, do not have a defined slope (infinite slope), making it impossible to represent them in point-slope form. Therefore, while most non-vertical linear equations can be converted to point-slope form, vertical lines present an exception.
Standard form: Ax + By = C, where A and B are non-zero constants. Slope-intercept form: y = mx + b, where m is the slope, and b is the y-intercept.
It does not matter because they are equivalent. You can always convert from a slope-intercept form to a standard linear form (and vice versa).
The standard form for the equation of a straight line in 2-dimensional space is ax + 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)Then, the slope (or gradient) is (-a/b).
Equation
In standard form, there is no slope for three numbers.
5
-7/5 For equations in Standard Form (Ax + By = C), slope equals -A/B. Or you could put the equation in Slope-Intercept form (y = mx + b) by solving for y and then finding the slope (m).
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).
To determine the equations that represent a line, you typically need either the slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept, or the point-slope form (y - y₁ = m(x - x₁)), where (x₁, y₁) is a point on the line. Additionally, the standard form of a line (Ax + By = C) can also represent a line, where A, B, and C are constants. To identify specific equations, you would need additional information, such as points through which the line passes or its slope.