Slope-intercept:
Find the slope (change in y / change in x) of the equation, and the y intercept (the point where the line crosses the x axis).
y = mx + b, where m is the slope and b is the y-intercept.
To graph, draw a line through (0,b) with slope m.
Point-slope form:
(y-b) = m(x-a), where m is the slope and (a,b) is a point the line passes through.
Find the slope, and then pick any point that lies on the line and substitute into (a,b).
To graph, start at the point (a,b), and draw a line through that point with slope m.
Standard form:
Ax + Bx = C.
Example: 2x + 3y = 24
Notice that this form does not clearly include any points, the slope, or the intercepts. So how can we easily graph it?
To graph a line written in standard form, you can simply draw a line between the y-intercept and the x-intercept.
To find the y-intercept using our example.
2x + 3y = 24
y intercept is where x=0
0 + 3y = 24
y = 8 when x=0, y-intercept = (0,8)
X-intercept, sae process but plugging in zero for y:
2x + 0 = 24
x = 12
To graph, simply draw a line that goes through (0,8) and (0,12)
0.13 cents per minute
$50 per month
13 goes into 5,000 = 384
384 minutes per month
Step-by-step explanation:
x^3+x^2+4x+4=0
x³+x²+4x=-4
x(x²+x+4)=-4
either
x=-4
or
x²+x+4=-4
x²+x+4+4=0
x²+x+8=0
comparing with ax² +bx+c
a=1
b=1
c=8
x={-1±√{1²-4×1×8}}/2×1
x={-1±√{-31}}/2
Answer:
y ≤ -4x+25
Step-by-step explanation:
First we need to figure out the equation for the line
The y intercept is 25
Next figure out the slope
slope = (y2-y1)/((x2-x1)
= (49-25)/(-6-0)
= 24/-6
= -4
The equation for a line in slope intercept form is y = mx+b
y = -4x+25
This is a solid line so our inequality will have an equals in it.
It is shaded below, so y is less than.
If it was shaded above, y would be greater than
y ≤ -4x+25
