How do you convert $$y = mx + b$$ to Standard Form?

Rearrange the equation to the form $$Ax + By = C$$ by moving all terms involving x and y to one side.

What is the slope in the equation $$6x + 3y = 12$$ ?

To find the slope, convert to Slope-Intercept Form: $$3y = -6x + 12$$ , then $$y = -2x + 4$$ , so the slope is -2.

What is the y-intercept in the equation $$3x + 4y = 12$$ ?

Convert to Slope-Intercept Form: $$4y = -3x + 12$$ , then $$y = -\frac{3}{4}x + 3$$ , so the y-intercept is 3.

Identify the standard form of the equation from the options: y = 3x - 5, 3x + 16 = 5y, 5x + 7y = -12.

The standard form is $$5x + 7y = -12$$ .

What is the first step to graphing a linear equation in Standard Form?

Convert the equation to Slope-Intercept Form or find the x and y intercepts.

What does the term 'intercept' refer to in a linear equation?

An intercept is the point where the line crosses the x-axis (x-intercept) or y-axis (y-intercept).

How can you determine if an equation is in Standard Form?

Check if it is in the form $$Ax + By = C$$ , where A, B, and C are integers.

What is the x-intercept of the equation $$2x - 3y = 6$$ ?

Set y = 0: $$2x = 6$$ , so $$x = 3$$ . The x-intercept is (3, 0).

What is the y-intercept of the equation $$2x - 3y = 6$$ ?

Set x = 0: $$-3y = 6$$ , so $$y = -2$$ . The y-intercept is (0, -2).

What is the significance of the coefficients A and B in the Standard Form $$Ax + By = C$$ ?

A and B determine the slope of the line; if A = 0, the line is horizontal, and if B = 0, the line is vertical.

How do you identify the correct equation from a graph?

Look for key points on the graph, such as intercepts, and match them to the equations provided.

(MCA) 4.4 Writing linear Equations in Standard form. Flashcards

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1.

FLASHCARD QUESTION

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What is the Standard Form of a linear equation?

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2.

FLASHCARD QUESTION

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It represents the Standard Form of a linear equation.

3.

FLASHCARD QUESTION

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Back

This is the Slope-Intercept Form of a linear equation.

4.

FLASHCARD QUESTION

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What is the Point-Slope Form of a linear equation?

Back

5.

FLASHCARD QUESTION

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6.

FLASHCARD QUESTION

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7.

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