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)
Answer:
Answer: average speed = distance/time Therefore, the average speed of the car is 60 miles/2 hours = 30 miles/hour.
Step-by-step explanation:
Answer:
see below
Step-by-step explanation:
The domain is the horizontal extent of the function, -4 to 4. The only answer choice correctly describing that is the first one.
The range is the vertical extent of the function. The first choice also correctly describes that.
