Question

Find the equation for a line which passes through the points ( 1, 1) and (3, 7). Write the equation in slope-intercept form.

Answer 1

. the y-intercept of the line is -2.

Explanation:

To find the equation of the line, we first need to calculate the slope of the line which can be calculated as follows:

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

slope = (7 - 1) / (3 - 1)

slope = 6/2

slope = 3

Now we can use either of the two points to find the y-intercept of the line. Let's use the point (1,1):

y = mx + b

1 = 3(1) + b

1 = 3 + b

b = -2