Find the slope of the line through each pair of points. (10, -17), (11, 11)

Question

I need to make this an equation but I don't understand how to please help

Answer 1

y=mx + b is the general form of an equation of a straight line where m=slope and b = the y intercept

for (10,-17) and (11,11) the slope = (11 - -17)/(11-10) = 28/1 = 28=m

slope is the difference in y values divided by the difference in x values

y=28x + b, solve for b by plugging in either point

-17= 28(10) + b

b = -17-280 =-297 = the y intercept (0,-297)

y=28x -297 is the line through the two given points