The answer of the given question is y = 7x – 48. This is the result of the equation of the line through (6,−6) (6,−6) left parenthesis, 6, comma, minus, 6, right parenthesis and (8,8) (8,8) left parenthesis, 8, comma, 8, right parenthesis. This result is generated by using point-slope formula.
What is slope formula?
Slope formula is required to calculate the inclination of a line. For calculating the slope of a line, x and y coordinates of the points on the line are required. Ratio of change in y coordinates and change in x coordinates is called the slope of a line.
Slope (m) = change in y / change in x = Δy / Δx
Thus, in this case, the calculation as follows:
m = Δy / Δx
= 8 – (–6) / 8 – 6
= 14 / 2
= 7
Now, use the point-slope formula:
y – y1 = m (x – x1)
y – 8 = 7 (x – 8)
y = 7x – 56 + 8
y = 7x – 48
Hence, the result is y = 7x – 48.
Learn more about slope at: https://brainly.com/question/24578307
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