Question

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

Answer 1

Answer:

3x

Step-by-step explanation:

Answer 2

Answer:

$y=4x$

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:

$\displaystyle y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

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

$\boxed{y=4x}$