Question

Follow the steps and write the equation represented by this graph.

Answer 1

Answer:

y = 4x + 3

Step-by-step explanation:

Step 1: Write the general equation

y = mx + b

Step 2: Identify b, the Y intercept (x = 0)

b is the value of y when x = 0.

From the graph, when x = 0, y = 3.

Therefore, b = 3

Step 3: The second point from graph (x, y):

P = (1, 7)

Step 4: Define m as ratio of rise / run:

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

Step 5: Put coordinates into ratio:

Using the two coordinates, (0, 3) and (1, 7), we would have,

$m = \frac{7 - 3}{1 - 0}$

Step 6: Perform subtraction to get slope:

$m = \frac{4}{1}$

m = 4

Step 7: Substitute values into y = mx + b:

Thus, plug in the values of m and b into the slope-intercept equation.

b = 3, m = 4, therefore:

y = (4)x + (3)

Step 8: Write answer:

y = 4x + 3