Question

Plot the x- and y-intercepts to graph the equation. y=13x−1 .

Answer 1

Answer:

Given the equation: $y = \frac{1}{3}x -1$        .....[1]

To find the intercepts:

x-intercepts states that the graph cross the x-axis.

Substitute the value of y = 0 in [1] to solve for x;

$0 = \frac{1}{3}x-1$

Add 1 to both sides we get;

$1 = \frac{1}{3}x$

Multiply both sides by 3 we get;

$3 = x$

x-intercepts = (3, 0)

y-intercepts states that the graph cross the y-axis

Substitute the value x = 0 in [1] to solve for y;

$y = \frac{1}{3}(0) -1$

Simplify:

y = -1

y-intercept = (0, -1)

Now, using these x- and y--intercepts  points to graph the given equation $y = \frac{1}{3}x -1$ as shown below.

Answer 2

This is the graph
if put 0 and 1 for x then :
$x = 0 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 1 \\ y = - 1 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 12 \\ \binom{x}{y } = \binom{0}{ - 1} \: \: \: \: \binom{1}{12}$