the x intercept of a line is -5 and the y intercept of the line is -2. what is the equations of the line

1 answer

To find the equation of the line, we need to determine its slope and y-intercept.

The x-intercept is -5, which means that the point (-5, 0) lies on the line.
The y-intercept is -2, which means that the point (0, -2) lies on the line.

To determine the slope, we can use the formula for slope:
slope = (change in y)/(change in x).

Using the two points (-5, 0) and (0, -2), we can calculate the slope:
slope = (-2 - 0) / (0 - (-5))
= -2 / 5
= -0.4

Now that we have the slope (-0.4) and the y-intercept (-2), we can use the slope-intercept form of a linear equation to write the equation of the line:

y = mx + b

where m is the slope and b is the y-intercept.

Plugging in the values, we get:

y = -0.4x - 2

Therefore, the equation of the line is y = -0.4x - 2.