Final answer:
To find the equation of a line with x-intercept of -8 and y-intercept of 2, use the slope-intercept form of a line.
Step-by-step explanation:
The equation of a line can be written in the form y = mx + b, where m is the slope and b is the y-intercept. To find the equation of the line with an x-intercept of -8 and a y-intercept of 2, we can use the given intercepts to determine the values of m and b.
Given that the x-intercept is -8, we know that when y = 0, x = -8. This gives us the point (-8, 0) on the line. Similarly, the y-intercept is 2, which gives us the point (0, 2) on the line.
Using these two points, we can determine the slope: m = (y2 - y1) / (x2 - x1) = (2 - 0) / (0 - -8) = 2 / 8 = 1/4. Finally, substituting the values of m and b into the equation, we get the equation of the line as y = (1/4)x + 2.