Here is an example:
10x + 5y = 25
move the x's to the other side by subtracting them
5y = -10x + 25
divide the equation by 5(beacuse 5 is the number in front of y) to get y by itself
y = -2x + 5
The standard form equation of a line is y=mx+b. M represents the slope; slope is the change in x over the change in y. B represents the y-intercept.
You place X and Y on the same side to get a standard equation.
As for example in the equation: y = 2x+5 the slope is 2 and the y intercept is 5
To determine the form of a linear equation, it would depend on the specific equation provided. The rise-run form focuses on the change in y over the change in x (slope), the slope-intercept form is written as (y = mx + b), standard form is (Ax + By = C), and point-slope form is expressed as (y - y_1 = m(x - x_1)). Without seeing the actual equation, it's not possible to accurately identify its form.
That's all you need to know in order to draw the graph. Note that it doesn't matter what form the equation is written in. The form of presentation doesn't change the slope or intercept.
The standard form equation of a line is y=mx+b. M represents the slope; slope is the change in x over the change in y. B represents the y-intercept.
If the equation is y = mx + c then you simply move y to the right hand side to make it 0 = mx - y + c and then, if you like, you can swap sides so that you get mx - y + c = 0.
You place X and Y on the same side to get a standard equation.
As for example in the equation: y = 2x+5 the slope is 2 and the y intercept is 5
-4
To determine the form of a linear equation, it would depend on the specific equation provided. The rise-run form focuses on the change in y over the change in x (slope), the slope-intercept form is written as (y = mx + b), standard form is (Ax + By = C), and point-slope form is expressed as (y - y_1 = m(x - x_1)). Without seeing the actual equation, it's not possible to accurately identify its form.
Solve the equation for ' y '.
That's all you need to know in order to draw the graph. Note that it doesn't matter what form the equation is written in. The form of presentation doesn't change the slope or intercept.
5
In a linear (first-order) equation, it is the ratio of the change in y of a segment to the change in x of the same segment. If the equation is in the form y = mx + b, m is the slope. In a higher-order equation, the instantaneous slope is the slope of the tangent line intersecting a particular point along the curve.
Standard. You need a linear equation in two variables for slope-intercept form.
The coefficient of x changes as the slope changes.