Question

Points at (-5,4),(0,5), and (5,6)

Identify the graphed linear equation.

Answer 1

To identify the graphed linear equation, we can use the points provided to calculate the slope and then use one of the points to find the y-intercept.

Using the points (-5,4) and (0,5) to calculate the slope:
slope = (y2 - y1) / (x2 - x1)
slope = (5 - 4) / (0 - (-5))
slope = 1 / 5
slope = 1/5

Now, we can use the slope and the point (0,5) to find the y-intercept using the point-slope form of a linear equation:
y - y1 = m(x - x1)
y - 5 = 1/5(x - 0)
y - 5 = 1/5x
y = 1/5x + 5

Therefore, the linear equation represented by the graph is y = 1/5x + 5.