Question

For the straight line defined by the points (3,57) and (5,87), determine the slope ( m ) and y-intercept ( ???? ). Do not round the answers.

Answer 1

Answer: The slope of the line is 15 and y-intercept is 12.

Step-by-step explanation:  We are given to find the slope and y-intercept of the straight line defined by the points (3, 57) and (5, 87).

We know that

the slope of a line passing through the points (3, 57) and (5, 87) is given by

$m=\dfrac{87-57}{5-3}=\dfrac{30}{2}=15.$

Since the straight line passes through the point (3, 57), so its equation will be

$y-57=m(x-3)\\\\\Rightarrow y-57=15(x-3)\\\\\Rightarrow y-57=15x-45\\\\\Rightarrow y=15x-45+57\\\\\Rightarrow y=15x+12.$

So, the required equation of the straight line is $y=15x+12.$

Thus, the slope of the line is 15 and y-intercept is 12.