Give the slope and the y-intercept of the line y = x – 4. Make sure the y-intercept is written as a coordinate.

Given:

The equation of a line is

To find:

The slope and y-intercept of the line.

Solution:

We have,

         ...(i)

The slope intercept form of a line is

           ...(ii)

Where, m is the slope and b is the y-intercept.

On comparing (i) and (ii), we get

Slope of the line = 1

y-intercept of the line = -4

The coordinate form of y-intercept is (0,b). So, the y-intercept of the given line is (0,-4).

Therefore, the slope of the line is 1 and the y-intercept is (0,-4).

∠acb = 8°

step-by-step explanation:

∠xba lies on the circle and is half the measure of the intercepted arc ax

hence

measure of arc ax = 2 × 42° = 84°

∠acb is outside the circle and is

∠acb = (arcab - arcax ), hence

∠acb = 0.5 (100 - 84) = 0.5 × 16° = 8°