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How do you represent a linear function?

Sagot :

The linear function can be represented by slope intercept form, point slope form and standard form.

Given,

Linear function;

A straight line on the coordinate plane is represented by a linear function. As an illustration, the equation y = 3x – 2 depicts a linear function because it is a straight line in the coordinate plane. This function can be expressed as f(x) = 3x - 2 since y can be replaced with f(x).

We can represent linear function by;

The slope intercept form, point slope form, and standard form can all be used to express a linear function.

Slope intercept form;

The equation of a straight line in the form y = mx + b where m is the slope of the line and b is its y-intercept.

Point slope form;

The equation of a straight line that passes through a particular point and is inclined at a specific angle to the x-axis can be found using the point slope form.

Standard form;

Ax+By=C is the usual form for two-variable linear equations. A standard form linear equation is, for instance, 2x+3y=5. When an equation is given in this format, finding both intercepts is rather simple (x and y). When attempting to solve systems involving two linear equations, this form is also quite helpful.

Learn more about linear function here;

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