Q:

ts Graph the line whose x-intercept is 5 and whose y-intercept is 3

Accepted Solution

A:
Answer:The equation of line whose x-intercept is 5 and whose y-intercept is 3 is given as    5 y + 3x = 15.Step-by-step explanation:Here, the given x - intercept  = 5.⇒ The point on the given equation is (x,0)  = (5,0)And, the y- intercept is given as 3⇒ The point on the given equation  is (0,y)  = (0,3) So, the two points given on the equation of line is A(5,0) and B(0,3)Now, the slope of the line equation [tex]m = \frac{y_2 - y_2}{x_2-x_1}[/tex]So, here the slope of line AB  is [tex]m = \frac{3- 0}{0-5}  = -\frac{3}{5}[/tex]Now by POINT SLOPE FORMULA:The equation of a line with point (x0,y0) and slope m is given as:(y- y0) = m (x-x0)⇒The equation of line AB is given as [tex]( y - 0) =  -\frac{3}{5} (x -5)\\\implies 5 y = -3x + 15\\\implies 5 y + 3x = 15[/tex]Hence, the equation of line AB is given as 5 y + 3x = 15.