The slope-intercept form: y = mx + b
m - slope
b - y-intercept
y = 5x + 2 and y = 5x – 8
m = 5 m = 5
b = 2 b = -8
When comparing equations:
1. Put in <u>slope-intercept</u> form.
2. Compare the <u>slopes and the y-intercepts</u>!
This system has <u>no solution.</u>
Because we have the same slopes and different y-intercepts.
If the slopes are the same and the y-intercepts are the same, then that system has infinitely many solutions.
If the slopes are different, then that system has one solution.
To solve the problem:
<span>Let f = distance one way distance on level
ground</span>
<span>
Let h = distance rode on the hill</span>
<span>
Write a time equation; where Time = distance/speed:</span>
<span>
level time + uphill time + downhill time + level time = 1hr</span>
<span>
</span>
<span>f/9 + h/6 + h/18 + f/9 = 1 hr</span>
<span>
Multiply equation by 18 to get rid of the denominators</span>
<span>
</span>
2f + 3h + h + 2f = 18
4f + 4h = 18
Simplify by dividing this by 4
<span>f + h = 4.5 miles is took her to get to Jon’s
house.</span>
Answer:
5(3x - 4)
Step-by-step explanation:
5(3x - 4)
use the distributive property
15x - 20
so its correct
Answer:
y +8 = -4(x -8)
Step-by-step explanation:
You recognize that the given equation is in slope-intercept form:
y = mx + b
with m = 1/4 and b = 5.
A perpendicular line will have a slope that is the negative reciprocal of this value of m, so the desired slope is ...
-1/m = -1/(1/4) = -4
The point-slope form of the equation for a line is ...
y -k = m(x -h) . . . . . for slope m through point (h, k)
Using m=-4 and (h, k) = (8, -8), the point-slope form of the equation for the line you want is ...
y +8 = -4(x -8)
