Final answer:
To write the equation in point-slope form, we first find the slope (m) using the given points, then use the point-slope formula to write the equation. The slope is found using the formula: m = (y2 - y1) / (x2 - x1).
Step-by-step explanation:
To write the equation in point-slope form, we need to use the formula: y - y1 = m(x - x1).
Let's first find the slope (m) using the given points. The slope formula is: m = (y2 - y1) / (x2 - x1).
Using the coordinates of Point 1: (1, 0.1) and Point 2: (7, 26.8), we can substitute the values into the slope formula: m = (26.8 - 0.1) / (7 - 1) = 26.7 / 6 = 4.45.
Now that we have the slope (m), we can choose any point (x1, y1) from the given points, let's use (-1, -7), and substitute the values into the point-slope formula: y - y1 = m(x - x1).
Substituting (-1, -7) and 4.45 into the point-slope formula, our final equation in point-slope form is:
y - (-7) = 4.45(x - (-1)).