Answer:
y = x/2 - 2
Explanation:
To create the equation for the line, we must first find the slope of the line. This can be done by using the slope formula, which is:
m = (y2 - y1)/(x2 - x1)
where m is the slope, and (x1, y1) and (x2, y2) are two different points on the line. Because the x-intercept of the line is 4, and the y-intercept is -2, we know that (4, 0) and (0, -2) are two points on the line. Lets make (x1, y1) = (0, -2) and (x2, y2) = (4, 0).
m = (0 - (-2))/(4 - 0)
m = 2/4
m = 1/2
So now we know that the slope of the line would be 1/2. To find the equation of the line, we could use the slope-intercept form. The equation for slope-intercept form is:
y = mx + b
where m is the slope and b is the y-intercept. We know that the y-intercept is -2 and that the slope is 1/2. We can plug in 1/2 for m and -2 for b.
y = (1/2)x + (-2)
y = x/2 - 2
An equation for a line with an x-intercept of 4 and a y-intercept of -2 is:
y = x/2 - 2
I hope you find this helpful. :)