Question

Find an equation for the line with the given properties
Express your answer using either the general form or the slope-intercept form of the equation of a line

X-intercept, 3
Y-intercept :-4

Answer 1

The line has an x- intercept at x = -4 and y intercept at y= 5, this means that the line passes through the points (-4,0) and (0,5) Now we find the slope m of the line passing through the points (-4,0) and (0,5) (x-intercept).

The slope of the line is:

m= y2- y1 / X2 - X1 = 5-0/0-(-4) = 5/4

point- slope formula:

(y-y1) is the given point.

Now substituting the values:

y - 0 = 5/4 (x-(-4))

= y= 5/4 (x+4)

4y = 5(x+4)

4y = 5x + 20

4y - 20 = 5x

Hence, the equation of the line is 4y-20 = 5x.