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

1 answer

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

Given that the y-intercept is -2, we know that b = -2.

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

Knowing that the line intercepts the y-axis at -2 and the x-axis at -5, we can use those coordinates to calculate the slope:

slope (m) = (-2 - 0) / (-5 - 0) = -2 / -5 = 2/5

Now that we have both the slope and the y-intercept, we can write the equation of the line:

y = (2/5)x - 2