Question

Write the equation for each line: L,m, and pi already have for n.

Answer 1

Line m: y = -2x + 4

Line p: x = -4

Line l: y = 4

Step-by-step explanation:

For line m, the 1st step is to determine the slope of the line at (0, 4) and (2, 0) where x1 = 0, y1 = 4, x2 = 2, and y2 = 0.

Solving for the slope(m), we'll have;

`m=(y_2-y_1)/(x_2-x_1)=(0-4)/(2-0)=(-4)/(2)=-2`

Also, the line m cuts the y-axis at y = 4, therefore the y-intercept(b) of the line is 4.

Given below the general slope-intercept form of the equation of a line;

`y=mx+b`

where m = slope of the line and b = y-intercept of the line

If we substitute the above values for m and b for line m, the equation of the line m can be written as;

`y=-2x+4`

For line p,

Since line p is a vertical line, the slope is undefined and the equation of the line will be the x-intercept of the line;

`x=-4`

For line l,

Since the line is a horizontal line, the slope will be zero and the equation of the line will be the y-intercept of the line;

`y=4`