How do you convert the equation $$y = mx + b$$ to standard form?

To convert $$y = mx + b$$ to standard form, rearrange it to the form $$Ax + By = C$$ by moving all terms involving variables to one side.

How can you identify the slope from the standard form equation $$3x + 4y = 12$$ ?

To find the slope from the standard form, rearrange to slope-intercept form. For $$3x + 4y = 12$$ , it becomes $$y = -\frac{3}{4}x + 3$$ , so the slope is $$-\frac{3}{4}$$ .

What is the y-intercept of the equation $$2x + 5y = 10$$ ?

To find the y-intercept, set $$x = 0$$ . The equation becomes $$5y = 10$$ , so $$y = 2$$ . The y-intercept is $$2$$ .

How do you graph the equation $$x + 2y = 8$$ ?

To graph $$x + 2y = 8$$ , find the x-intercept (set $$y = 0$$ , then $$x = 8$$ ) and the y-intercept (set $$x = 0$$ , then $$y = 4$$ ). Plot these points and draw a line.

How do you convert the equation $$6x + 3y = 12$$ to slope-intercept form?

To convert $$6x + 3y = 12$$ to slope-intercept form, isolate y: $$3y = -6x + 12$$ , then $$y = -2x + 4$$ .

What does it mean for an equation to be in standard form?

An equation is in standard form if it is written as $$Ax + By = C$$ , where A, B, and C are integers, and A is non-negative.

How do you determine if a point lies on the line represented by the equation $$3x - 7y = -5$$ ?

To determine if a point (x, y) lies on the line, substitute the x and y values into the equation. If the equation holds true, the point lies on the line.

What is the significance of the coefficients A and B in the standard form equation?

The coefficients A and B in the standard form equation $$Ax + By = C$$ indicate the direction and steepness of the line. A larger absolute value of A or B results in a steeper line.

How can you find the x-intercept of the equation $$4x + 2y = 8$$ ?

To find the x-intercept, set $$y = 0$$ . The equation becomes $$4x = 8$$ , so $$x = 2$$ . The x-intercept is $$2$$ .

What is the process to write an equation in standard form?

To write an equation in standard form, rearrange the equation to the form $$Ax + By = C$$ , ensuring A, B, and C are integers.

How do you check if two equations are equivalent in standard form?

Two equations are equivalent if they can be transformed into each other by multiplying or dividing by a non-zero constant.

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

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14 questions

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1.

FLASHCARD QUESTION

Front

What is the standard form of a linear equation?

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2.

FLASHCARD QUESTION

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3.

FLASHCARD QUESTION

Front

What does the slope-intercept form of a linear equation represent?

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4.

FLASHCARD QUESTION

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5.

FLASHCARD QUESTION

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6.

FLASHCARD QUESTION

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7.

FLASHCARD QUESTION

Front

What is the relationship between the coefficients in the standard form equation?

Back

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