Final answer:
To write the equation of a line in point-slope form, use the formula y - y1 = m(x - x1), where (x1, y1) is the given point and m is the slope. Substituting the values (8, 9) and 7 into the formula, the equation can be simplified to y - 9 = 7x - 56.
Step-by-step explanation:
Point-slope form is used to create the equation of a line with a known slope and a point through which the line passes. In point-slope form, the equation is written as y - y1 = m(x - x1), where m is the slope and (x1, y1) is the point given.
To write the equation of a line in point-slope form, we use the formula y - y1 = m(x - x1), where (x1, y1) is the given point and m is the slope. In this case, the point is (8, 9) and the slope is 7. Substituting these values into the formula:
y - 9 = 7(x - 8)
Now, we can simplify the equation:
y - 9 = 7x - 56
Finally, we can rewrite the equation in point-slope form:
y - 9 = 7x - 56