2. Find the equation of a line
a) With a slope of 4, passing through the origiin

Step-by-step explanation:

Equation of the line

A line can be expressed in many forms.

The equation of the line in slope-intercept form is:

y=mx+b

Being m the slope and b the y-intercept.

The point-slope form of the equation of a line is:

y-k=m(x-h)

Where m is the slope and (h,k) is a point through which the line passes.

The equation of a line passing through points (x1,y1) and (x2,y2) can be found as follows:

We are required to find a line with slope m=4 passing through the origin (0,0).

Using the point-slope form:

y-0=4(x-0)

Simplifying

we know that

applying the law of sines

°

so

∠j=18°

∠k=29°

∠l=180-(18+29)=133°

the answer part a) is

the measure of angle k is  ≈29°

part b)  the measure of angle k could also be

(180-29)=151°

so

∠j=18°

∠k=151°

∠l=180-(18+151)=11°

the answer part b) is

the measure of angle k could also be 151°

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