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Intercept Form of the Equation of a line, use the intercept form to find the equation of the line with the given intercepts. The intercept form of the equation of a line with intercepts $(a, 0)$ and $(0, b)$ is $$\frac{x}{a}+\frac{y}{b}=1, a \neq 0, b \neq 0$$ $$\begin{array}{l}{x \text { -intercept: }\left(\frac{2}{3}, 0\right)} \\ {y \text { -intercept: }(0,-2)}\end{array} $$

Name: Problem 84, Chapter 1: Precalculus with Limits
Uploaded: 2021-01-24T06:03:18-08:00
Duration: 1 min 28 s
Channel: Chris Trentman
Description: Intercept Form of the Equation of a line, use the intercept form to find the equation of the line with the given intercepts. The intercept form of the equation of a line with intercepts (a, 0) and (0, b) is (x)/(a)+(y)/(b)=1, a ≠0, b ≠0 x -intercept: ((2)/(3), 0) y -intercept: (0,-2)

   Intercept Form of the Equation of a line, use the intercept form to find the
equation of the line with the given intercepts. The
intercept form of the equation of a line with intercepts
$(a, 0)$ and $(0, b)$ is
$$\frac{x}{a}+\frac{y}{b}=1, a \neq 0, b \neq 0$$
$$\begin{array}{l}{x \text { -intercept: }\left(\frac{2}{3}, 0\right)} \\ {y \text { -intercept: }(0,-2)}\end{array}
$$

Precalculus with Limits

Ron Larson 3rd Edition

Chapter 1, Problem 84

Instant Answer

Solved by Expert Chris Trentman

01/24/2021

Step 1

We can use these values in the intercept form of the equation of a line, which is $\frac{x}{a}+\frac{y}{b}=1$ where $(a, 0)$ and $(0, b)$ are the intercepts. Show more…

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Intercept Form of the Equation of a line, use the intercept form to find the equation of the line with the given intercepts. The intercept form of the equation of a line with intercepts $(a, 0)$ and $(0, b)$ is $$\frac{x}{a}+\frac{y}{b}=1, a \neq 0, b \neq 0$$ $$\begin{array}{l}{x \text { -intercept: }\left(\frac{2}{3}, 0\right)} \\ {y \text { -intercept: }(0,-2)}\end{array} $$

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Key Concepts

Intercepts

Intercepts are the points at which a line crosses the coordinate axes. The x-intercept is the point where the y-coordinate is zero, and the y-intercept is the point where the x-coordinate is zero. These intercepts provide key information for graphing the line and understanding its behavior in the coordinate plane.

Intercept Form of a Line

The intercept form of a line is a representation of a linear equation using its x-intercept and y-intercept. It is written as (x/a) + (y/b) = 1, where 'a' is the x-intercept (the point where the line crosses the x-axis, and y is zero) and 'b' is the y-intercept (the point where the line crosses the y-axis, and x is zero). This form is especially useful for quickly identifying the points where the line meets the axes.

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