Question

Drag graphs to show a graph of each equation in the table.

Answer 1

Equation #1 is Graph #4

Equation #2 is Graph #1

Equation #3 is Graph #2

Equation #4 is Graph #3

Answer 2

Answer:

1). Equation 1 - Option 4 on the top row

2). Equation 2 - Option 1 from the bottom row

3). Equation 3 - Option 2 from the top row

4). Equation 4 - Option 2 from the bottom row.

Step-by-step explanation:

1). First equation given in the question is $y=5x+\frac{1}{5}$

This equation represents a line with slope 5 and y-intercept as $\frac{1}{5}$

4th option on the top row represents a line in which y grows with the increase in value of x, slope 5 and y-intercept as 0.2.

2). Equation 2 is $y=-\frac{1}{5}x+5$

Since this line passes through two points (0, 5) and (5, 6)

Therefore, slope of the line = $\frac{5-6}{0-5}=-\frac{1}{5}$

The given line is represented by slope $\frac{1}{5}$ and y-intercept 5 which matches with 1st graph from the bottom row.

3). Equation 3 is y = -5x - $\frac{1}{5}$

Since graph 2 on the top row shows the negative slope of 5 and y-intercept as $-\frac{1}{5}$

Therefore, graph 2 from the top row will be the answer.

4). Equation 4 is $y=-\frac{1}{5}x-5$ showing slope $-\frac{1}{5}$ and y-intercept as -5.

This line passes through two points (0, -5) and (-5, -6) therefore,

Slope = $\frac{-6+5}{0+5}=-\frac{1}{5}$ and y-intercept as -5

Graph number 2 from the bottom row represents the equation of the line.