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Chapter 1: Q. 101 (page 42)

Find an equation of the x-axis.

Short Answer

Expert verified

Equation of the x-axis: $y = 0$ .

Step by step solution

01

Step 1. Finding the slope of x-axis

Taking two points on x-axis: $(0, 0), (d, 0)$

Slope, $m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$

$m = \frac{0 - 0}{d - 0}$

$m = \frac{0}{d}$

$m = 0$

02

Step 2. Finding the y-intercept

y-intercept is found by substituting point $(0, 0)$ in slope-intercept form. which gives,

$0 = m (0) + b b = 0$

03

Step 3. Substituting slope and y-intercept in the slope-intercept form of line

Slope-intercept form of line: $y = m x + b$

Substituting the values obtained above,

$y = (0) (x) + 0 y = 0$

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Most popular questions from this chapter

Show that the line containing the points (a, b) and (b, a), a b, is perpendicular to the line y = x. Also show that the midpoint of (a, b) and (b, a) lies on the line y = x.

Tell whether the given points are on the graph of the equation.

$Equation : y = x^{3} - 2 \sqrt{x} Points : (0, 0); (1, 1); (1, - 1)$

In Problem 17-36, solve each equation algebraically. Verify your solution using a graphing utility.

$(x + 7) (x - 1) = {(x + 1)}^{2}$

True or FalseVertical lines have an undefined slope.

In Problem 17-36, solve each equation algebraically. Verify your solution using a graphing utility.

$5 x^{2} = 13 x + 6$

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