To find the equation of the line, we need two aspects: the slope (m) and the y-intercept (b).
First, let's calculate the slope of the line. The slope of the line passing through two points (x1, y1) and (x2, y2) is given by the formula:
m = (y2 - y1) / (x2 - x1)
Here, we know that the line passes through the points (17, 0) and (-5,6). So, by substituting these values into the formula, we get:
m = (0 - 6) / (17 - (-5)) = -6 / 22 = -0.2727272727272727
Therefore, the slope of the line is -0.27.
Next, let's find the y-intercept (b). We know that the equation of the line is y = mx + b. So, to find b, we rearrange the equation to get:
b = y - mx
Substitute the values of m and the known point (-5,6) into the equation, we get:
b = 6 - (-0.27 * -5) = 6 - 1.3636 = 4.636363636363637.
Therefore, the y-intercept of the line is b = 4.64 and the equation of the line is y = -0.27x + 4.64.