Question

Given the coordinates (1, 5) and (4, 11).



The slope of the line that passes through the coordinates is
.

Fill in the blanks to write the equation of the line in point-slope form.

y−

=

(x−

)

Answer 1

To find the slope of the line that passes through the coordinates (1,5) and (4,11), we can use the formula for slope:

slope = (change in y-coordinates)/(change in x-coordinates)

Therefore, the slope is:

slope = (11-5)/(4-1) = 6/3 = 2

So, the slope of the line is 2.

To write the equation of the line in point-slope form, we need to choose one of the given points and use the slope to fill in the blanks.

Let's use the point (1,5):

y - 5 = 2(x - 1)