Y intercept! i need help please :/?

Question

kay my two points are (10.45, 9.81) (49.23, 50.83)

i found out tht my slope is 1.05

but i need step by step instructions to find

my y intercept and line equation

please someone help me..

Answer 1

If the line goes through points (x1, y1) and (x2, y2), the gradient m is:

m = (y2 - y1) / (x2 - x1).

m comes to 1.05776.

Don't round it off yet.

The equation of the line is:

y = mx + c

y = 1.05776x + c

where c is the y intercept.

To find c, substitute one of the x values, and the corresponding y value.

Using the first point (10.45, 9.81):

9.81 = 1.05776 * 10.45 + c

Subtracting 1.05776 * 10.45 from each side of the equation:

c = 9.81 - 1.05776 * 10.45

= - 1.24.

Rounding off:

m = 1.06, c = - 1.24.