Question

Graph the line that has a slope of 6 and includes the point (0,4).

Answer 1

Answer:

The equation of the line with slope 6 and containing the point (0, 4) will be:

$y = 6x+4$

The graph of the line y = 6x+4 is attached below.

Step-by-step explanation:

The slope-intercept form of the line equation

$y = mx+b$

where

• m is the slope

• b is the y-intercept

Given

• The slope m = 6

• The point (0, 4)

The y-intercept can be determined by setting x = 0 and determining the corresponding value of y.

The point (0, 4) indicates that:

at x = 0, y = 4

Thus, the y-intercept b = 4

now substituting b = 4 and m = 6 in the slope-intercept form of the line equation

$y = mx+b$

$y = 6x+4$

Thus, the equation of the line with slope 6 and containing the point (0, 4) will be:

$y = 6x+4$

The graph of the line y = 6x+4 is attached below.