Question

a graph has the points (0, 7) (2, 1), what is the equation of the line?

Answer 1

To find the equation of the line passing through the points (0, 7) and (2, 1), we first need to calculate the slope of the line using the formula:

slope = (y2 - y1) / (x2 - x1)

Where (x1, y1) = (0, 7) and (x2, y2) = (2, 1)

slope = (1 - 7) / (2 - 0)
slope = -6 / 2
slope = -3

Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

where m is the slope and (x1, y1) = (0, 7)
y - 7 = -3(x - 0)
y - 7 = -3x

Now, simplify the equation to slope-intercept form:

y = -3x + 7

Therefore, the equation of the line passing through the points (0, 7) and (2, 1) is y = -3x + 7.