SOLUTION: Graph each equation. State the slope, y-intercept and x-intercept for each graph -4x+y=-4 Slope Y-intercept X-intercept -2x-3y=-6 Slope Y-intercept X-intercept X-4=-9

Algebra ->  Graphs -> SOLUTION: Graph each equation. State the slope, y-intercept and x-intercept for each graph -4x+y=-4 Slope Y-intercept X-intercept -2x-3y=-6 Slope Y-intercept X-intercept X-4=-9       Log On


   



Question 932092: Graph each equation. State the slope, y-intercept and x-intercept for each graph
-4x+y=-4
Slope
Y-intercept
X-intercept
-2x-3y=-6
Slope
Y-intercept
X-intercept
X-4=-9
Slope
Y-intercept
X-intercept

Found 2 solutions by MathLover1, ewatrrr:
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
Graph each equation. State the slope, y-intercept and x-intercept for each graph.
to do it, you need to write each given equation in slope-intercept form y=mx%2Bb where m=slope and b=y-intercept
1.
-4x%2By=-4
y=4x-4
Slope is 4
Y-intercept is -4 or at point (0,-4)
X-intercept: set y=0 and solve for x
0=4x-4
4=4x
1=x
X-intercept is 1 or at point (1,0)

2.
-2x-3y=-6
-2x%2B6=3y
-%282%2F3%29x%2B2=y
Slope is -%282%2F3%29
Y-intercept is 2 or at point (0,2)
X-intercept
-2x-3%2A0=-6
-2x=-6
6=2x
x=3
X-intercept is 3 or at point (3,0)



3.
X-4=-9
X=-9%2B4
X=-5 - a vertical line
Slope -the Slope of a Vertical line is Undefined
Y-intercept - none
X-intercept -is -5 or at point (-5,0)



Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
the standard slope-intercept form for an equation of a line is
y+=+highlight_green%28m%29x+%2B+highlight%28b%29 where m is the slope and b the y-intercept.
.....
-4x+y=-4 When y = 0, x = 1
In standard slope-intercept form ... You have:
y+=+highlight_green%284%29x+%2B+highlight%28-4%29 m = 4 (Green line slanting right)
P(1,0) and (0,-4)
......
-2x-3y=-6 When y = 0, x = 3
y+=+highlight_green%28-2%2F3%29x+%2B+highlight%282%29 m = (-2/3) (Blue line slanting left )
P(3,0) and (0,2)
........
x = -5 (Vertical Line (slope Undefined)