Write an equation of the line in slope-intercept form
(0,5) (3,$)
In order to write the equation of a line in slope-intercept form, we need two pieces of information: the slope of the line (m) and the y-intercept (b).
Given the points (0,5) and (3,$), we can use them to find the slope (m) of the line:
m = (y2 - y1) / (x2 - x1)
m = ($ - 5) / (3 - 0)
m = ($ - 5) / 3
Since the slope-intercept form is y = mx + b, we can substitute the known y-coordinate and the slope into the equation to solve for the y-intercept (b):
5 = ($ - 5) / 3 * 0 + b
5 = ($ - 5) / 0 + b
Since the slope is undefined (since the denominator is 0), we cannot determine the equation of the line with the information given.