Final answer:
To write the equation of a line in slope-intercept form, determine the slope and y-intercept. Given the point (2, -3) and a slope of 1/28, the equation is y = (1/28)x - 43/14.
Step-by-step explanation:
To write the equation of a line in slope-intercept form (y = mx + b), we need to determine the slope (m) and the y-intercept (b).
Given that the line passes through the point (2, -3) and has a slope of 1/28, we can substitute the values into the equation:
y = (1/28)x + b
By plugging in the coordinates of the point, we can solve for the y-intercept:
-3 = (1/28)(2) + b
-3 = 1/14 + b
b = -3 - 1/14
b = -43/14
Therefore, the equation of the line in slope-intercept form is y = (1/28)x - 43/14.
Learn more about Writing equations in slope-intercept form