Problem

Graph the line whose $x$-intercept is 3 and whose $y$-intercept is -1 .

Solution

Step 1 :First, we know that the line crosses the x-axis at (3,0) and the y-axis at (0,-1).

Step 2 :The slope of the line can be calculated using the formula \(m = \frac{y_2 - y_1}{x_2 - x_1}\).

Step 3 :Substituting the coordinates of the two points into the formula, we get \(m = \frac{-1 - 0}{0 - 3} = \frac{1}{3}\).

Step 4 :The equation of the line in slope-intercept form is \(y = mx + b\), where m is the slope and b is the y-intercept.

Step 5 :Substituting the values of m and b into the equation, we get \(y = \frac{1}{3}x - 1\).

Step 6 :This is the equation of the line whose x-intercept is 3 and y-intercept is -1.

From Solvely APP
Source: https://solvelyapp.com/problems/32692/

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