Question

Find an equation of the line with an x intercept of -2 and a slope of 3

Answer 1

Answer:

y= 3x -6

Step-by-step explanation:

The equation if a line can be written in the form of y= mx +c, where m is the slope and c is the y- intercept.

Given that the slope is 3, m= 3.

Substitute m= 3 into the equation:

y= 3x +c

To find the value of c, substitute a pair of coordinates into the equation.

Given that it has an x- intercept of -2, the line passes through the point (-2, 0). This is because x- intercept is the point at which the line passes through the x- axis, and this occurs at y= 0.

When x= -2, y= 0,

0= 3(-2) -c

0= -6 -c (expand)

c= -6 (+c on both sides)

Thus, the equation of the line is y= 3x -6.