write an equation in slope-intercept form for the specified line, where possible:
the line containing A(0,7) and B(7,0)
To represent a line in slope-intercept form (y = mx + b), we need to determine the slope (m) and the y-intercept (b).
First, let's find the slope (m) using the coordinates of the two given points, A(0,7) and B(7,0):
m = (y2 - y1) / (x2 - x1)
Substituting the values, we get:
m = (0 - 7) / (7 - 0)
m = -7/7
m = -1
Now that we have the slope (m), we can calculate the y-intercept (b) using one of the given points. Let's use point A(0,7):
y = mx + b
7 = -1(0) + b
7 = b
Since the y-intercept is 7, our equation in slope-intercept form for the line containing points A(0,7) and B(7,0) is:
y = -x + 7