Question

Using graph paper graph the following equation then click on the graph until the correct one is display. 3x-y-1=0

Answer 1

We have that
3x-y-1=0-------------------> y=3x-1

using a graph tool
see the attached figure

the x-intercept is the point (0.333,0)
the y-intercept is the point (0,-1)
the slope is m=3

Answer 2

The graph of the equation $3x - y - 1 = 0$ is attached below.

Further explanation:

The linear equation with slope m and intercept c is given as follows.

$\boxed{y = mx + c}$

The formula for slope of line with points $\left( {{x_1},{y_1}} \right)$ and $\left( {{x_2},{y_2}} \right)$ can be expressed as,

$\boxed{m = \frac{{{y_2} - {y_1}}}{{{x_2} - {x_1}}}}$

Given:

The equation is $3x - y - 1 = 0.$

Explanation:

The given equation is $3x - y - 1 = 0.$

Solve the equation to obtain the standard form.

$\begin{aligned}3x - y - 1&= 0\\y&= 3x - 1\\\end{aligned}$

Compare $y = 3x - 1$ to the standard equation $y= mx + c.$

The slope of the line is 3 and the y-intercept is -1.

Substitute 0 for $x$ to obtain the value of $y$.

$\begin{aligned}y &= 3 \times 0 - 1\\y&= 0 - 1\\y&= - 1\\\end{aligned}$

Substitute 1 for $x$ to obtain the value of $y$.

$\begin{aligned}y&= 3 \times 1 - 1\\y&= 3 - 1\\y&= 2\\\end{aligned}$

Substitute 2 for $x$ to obtain the value of $y$.

$\begin{aligned}y&= 3 \times 2 - 1\\y&= 6 - 1\\y&= 5\\\end{aligned}$

The graph of the equation $3x - y - 1 = 0$ is attached below.

Learn more:

1. Learn more about inverse of the function brainly.com/question/1632445.
2. Learn more about equation of circle brainly.com/question/1506955.
3. Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Linear equation

Keywords: numbers, slope, slope intercept, inequality, equation, linear inequality, shaded region, y-intercept, graph, representation, origin.