Question 449137
  <pre><font face = "Tohoma" size = 4 color = "indigo"><b> 
Hi,
Find the x- and y-intercepts and graph the equation plotting the intercepts
-4x-5y=30
  0-5y = 30  y = -6      (0,-6)
-4x-0= 30    x = -30/4   (-7.5,0)
{{{drawing(300,300,   -10,10,-10,10,  grid(1),
circle(-7.5, 0,0.4),
circle(0, -6,0.4),
graph( 300, 300, -10,10,-10,10,0, (-4/5)x - 6))}}}

Following often used for determining the characteristics of a Line:
Point-slope formula, {{{m =(y[2] - y[1])/(x[2] - x[1])}}}OR {{{(y -y[1]) = m(x-x[1])}}}
*[tex \LARGE\ The \ standard \ slope-intercept \ form \ for \ an \ equation \ of \ a  \ line \ y = mx + b ] 
*[tex \LARGE\ where \ m \ is \ the \ slope \ and \ b \ the \ y-intercept]