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is 2x 3y 7 a linear function

by Ed Heller Published 3 years ago Updated 2 years ago

Standard form for a linear equation is XXXXAx +By = C XXXXXXXX where A,B,CεZ and A ≥ 0 The given equation: 2x +3y + 7 = 3

In particular, the set of solutions to 2x - 3y = 7 is a straight line. (This is why it's called a linear equation.)

Full Answer

How do you simplify the equation 7 3 7 3?

Subtract 7 3 7 3 from both sides of the equation. Since the expression on each side of the equation has the same denominator, the numerators must be equal. Divide each term by − 2 - 2 and simplify.

What is the value of 7 3-2x3?

Rewrite the equation as 7 3 − 2 x 3 = 0 7 3 - 2 x 3 = 0. Subtract 7 3 7 3 from both sides of the equation. Since the expression on each side of the equation has the same denominator, the numerators must be equal.

How do you find the value of 2x in standard form?

Subtract 2x from both sides. Subtract 2 x from both sides. The equation is in standard form. The equation is in standard form. Divide both sides by 3.

Is 2x 3y 7 3 a linear equation?

2x-3y=7;-3+y=7 This solution deals with linear equations with two unknowns.

How do you tell if a function is a linear function?

Linear functions are those whose graph is a straight line. A linear function has one independent variable and one dependent variable. The independent variable is x and the dependent variable is y.

What is the slope of a line 2x 3y 7?

Using the slope-intercept form, the slope is 23 .

Is 2x 3y 12 a linear function?

Explanation: 2x+3y=12 is the standard form for a linear equation.

What is not a linear function equation?

Linear and Nonlinear Functions A nonlinear function is a function whose graph is NOT a line. Its equation is of the form f(x) = ax + b. Its equation can be in any form except of the form f(x) = ax + b. Its slope is constant for any two points on the curve.

What are examples of linear functions?

A linear function is a function that represents a straight line on the coordinate plane. For example, y = 3x - 2 represents a straight line on a coordinate plane and hence it represents a linear function. Since y can be replaced with f(x), this function can be written as f(x) = 3x - 2.

What is the slope of a line perpendicular to the line 2x y =- 7?

Using the slope-intercept form, the slope is −2 - 2 . The equation of a perpendicular line must have a slope that is the negative reciprocal of the original slope. Simplify −1−2 to find the slope of the perpendicular line.

What is the slope of any line parallel to the line 9x 4y 7?

-9/4The slope of any line parallel to the line 9x + 4y = 7 is -9/4.

Is 2x 3y 6 linear?

The slope-intercept form of the linear equation 2x + 3y = 6 is given by y = (-2/3)x + 2.

Is 2x y 4 linear?

Yes, it is a linear equation.

How do you graph a linear inequality 2x 3y 12?

0:204:02Graphing Inequalities 2x + 3y = 12 Region shading - YouTubeYouTubeStart of suggested clipEnd of suggested clipThe first step to solving this problem is to actually graph the line 2x plus 3y equals 12 into thisMoreThe first step to solving this problem is to actually graph the line 2x plus 3y equals 12 into this grid. And then we'll determine which side we should highlight.

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