Which of the following is the graph of $$5x + 2y = 10$$ ?

The graph is a straight line that intersects the x-axis at (2, 0) and the y-axis at (0, 5).

What is the slope-intercept form of a linear equation?

The slope-intercept form is written as $$y = mx + b$$ , where m is the slope and b is the y-intercept.

How do you convert from slope-intercept form to standard form?

Rearrange the equation $$y = mx + b$$ to the form $$Ax + By = C$$ .

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

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

What is the standard form of the equation $$y = 1/2x + 2$$ ?

The standard form is $$-1/2x + y = 2$$ or equivalently $$x - 2y = -4$$ .

How do you graph a linear equation in standard form?

Find the x- and y-intercepts, plot them on the graph, and draw a straight line through these points.

What is the relationship between the standard form and the slope of a line?

The slope can be found using the formula $$m = -A/B$$ from the standard form $$Ax + By = C$$ .

What is the standard form of the equation $$7x + 2y = 9$$ ?

The equation is already in standard form.

Graphing In Standard form Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is the standard form of a linear equation?

Back

2.

FLASHCARD QUESTION

Front

How do you find the x-intercept of an equation?

Back

To find the x-intercept, set y = 0 in the equation and solve for x.

3.

FLASHCARD QUESTION

Front

How do you find the y-intercept of an equation?

Back

To find the y-intercept, set x = 0 in the equation and solve for y.

4.

FLASHCARD QUESTION

Front

Back

The x-intercept is (3, 0) and the y-intercept is (0, 6).

5.

FLASHCARD QUESTION

Front

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

Back

6.

FLASHCARD QUESTION

Front

Back

The x-intercept is (7, 0).

7.

FLASHCARD QUESTION

Front

Back

The y-intercept is (0, 7/4).

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