Question

1. write the equation of the line represented by the following table (2 point):

x	y
-3	100
-2	200
-1	300
0	400
1	500
2	600
3	700

Explanation:

Step1: Find the slope

The slope $m$ of a line is given by the formula $m=\frac{y_2 - y_1}{x_2 - x_1}$. Let's take two points, say $(x_1,y_1)=(0,400)$ and $(x_2,y_2)=(1,500)$. Then $m=\frac{500 - 400}{1-0}=100$.

Step2: Find the y - intercept

The y - intercept $b$ is the value of $y$ when $x = 0$. From the table, when $x = 0$, $y=400$, so $b = 400$.

Step3: Write the equation of the line

The slope - intercept form of a line is $y=mx + b$. Substituting $m = 100$ and $b = 400$, we get $y=100x + 400$.

Answer:

$y = 100x+400$