Skip to main content
Ch. 2 - Functions and Graphs
Blitzer - College Algebra 8th Edition
Blitzer8th EditionCollege AlgebraISBN: 9780136970514당신이 사용하는 게 아니라요?교과서 변경
모든 교과서Blitzer 8th EditionCh. 2 - Functions and Graphs문제 72a
3장, 문제 72a

Use intercepts to graph each equation. 6x-3y+15=0

검증된 단계별 안내
1
Rewrite the equation in standard form to make it easier to find the intercepts: 6x - 3y + 15 = 0.
To find the x-intercept, set y = 0 in the equation and solve for x. Substitute y = 0 into 6x - 3y + 15 = 0, which simplifies to 6x + 15 = 0. Solve for x.
To find the y-intercept, set x = 0 in the equation and solve for y. Substitute x = 0 into 6x - 3y + 15 = 0, which simplifies to -3y + 15 = 0. Solve for y.
Plot the x-intercept and y-intercept on the coordinate plane. The x-intercept is the point where the graph crosses the x-axis, and the y-intercept is the point where the graph crosses the y-axis.
Draw a straight line through the two intercepts to graph the equation. This line represents the solution to the equation 6x - 3y + 15 = 0.

비슷한 문제에 대한 검증된 영상 답변:

이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.
영상 길이:
1m
도움이 되었나요?

주요 개념

질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.

Intercepts

Intercepts are points where a graph intersects the axes. The x-intercept occurs when y=0, and the y-intercept occurs when x=0. For the equation 6x - 3y + 15 = 0, finding these intercepts helps in plotting the graph accurately.
추천 영상:
가이드 코스
04:08
Graphing Intercepts

Linear Equations

A linear equation represents a straight line when graphed on a coordinate plane. The general form is Ax + By + C = 0, where A, B, and C are constants. The equation given can be rearranged to slope-intercept form (y = mx + b) to identify the slope and y-intercept.
추천 영상:
06:00
Categorizing Linear Equations

Graphing Techniques

Graphing techniques involve methods to visually represent equations on a coordinate plane. For linear equations, plotting the intercepts and using the slope to find additional points allows for an accurate representation of the line. Understanding these techniques is essential for effective graphing.
추천 영상:
가이드 코스
02:16
Graphs and Coordinates - Example
관련 실천
교과서 질문

Find a. (fog) (x) b. the domain of f o g.

f(x) = x² + 4, g(x) = √(1 − x)

883
views
교과서 질문

Begin by graphing the square root function, f(x) = √x. Then use transformations of this graph to graph the given function. h(x)=-√(x + 1)

844
views
교과서 질문

Begin by graphing the square root function, f(x) = √x. Then use transformations of this graph to graph the given function. h(x)=√(-x+1)

849
views
교과서 질문

Find a. (fog) (x) b. the domain of f o g.

f(x) = √x, g(x) = x − 2

919
views
교과서 질문

Find the slope of the line passing through each pair of points or state that the slope is undefined. Assume that all variables represent positive real numbers. Then indicate whether the line through the points rises, falls, is horizontal, or is vertical. (-a, 0) and (0, -b)

116
views
교과서 질문

Use the graph of g to solve Exercises 71–76.

Find g(2)

112
views