Question

a line that intersects the points (-23,-17) and (-13,-7), find the slope, now fill in the missing inputs to the slope-intercept formula -17=1(?)+b or (?)=(-13)+b

Answer 1

The slope of the line can be calculated using the following formula:
slope = (y2-y1) / (x2-x1)

The given points are (-23,-17) and (-13,-7), therefore:
y2 = -7
y1 = -17
x2 = -13
x1 = -23

Substitute with these values to get the slope as follows:
slope (m) = (-7--17) / (-13--23) = 1

The formula of the slope-intercept is:
y = mx+b where m is the slope and b is the intercept.
Using the point (-23,-17), the formula would be:
-17 = 1(-23) + b
Using the point (-13,-7), the formula would be:
-7 = 1(-13) + b