Question

5

Answer 1

Answer:

The equation best represents the line is:

• y = 3x-1

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

• m is the slope

• b is the y-intercept

Taking the two points

• (0, -1)

• (1, 2)

Determining the slope between the points (0, -1) and (1, 2)

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(0,\:-1\right),\:\left(x_2,\:y_2\right)=\left(1,\:2\right)$

$m=\frac{2-\left(-1\right)}{1-0}$

Refine

$m=3$

We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.

As we are given the point (0, -1)

It means at x = 0, y = -1

Thus, the y-intercept b = -1

now substituting b = -1 and m = 3 in the slope-intercept form

y = mx+b

y = 3x + (-1)

y = 3x-1

Therefore, the equation best represents the line is:

• y = 3x-1