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The line has an x-intercept at x=17 and passes through the point (-5,6)

User Wang Liang
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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.

User OTTA
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