PLZ HELP!!!! A pair of equations is shown below: y = 6x − 4 y = 5x − 3 Part A: In your own words, explain how you can solve the
pair of equations graphically. Write the slope and y-intercept for each equation that you will plot on the graph to solve the equations. (6 points) Part B: What is the solution to the pair of equations? (4 points)
1 answer:
Answer:
Step-by-step explanation:
y = 6x − 4
y = 5x − 3
A: chose a value for x(input) and get the out put (y) because the equation already in the slope intercept mode:y=mx+b
x y=6x-4 y=5x-3
1 y=2 y=2
2 y=8 y=7
0 -4 -3
slope :
y=6x-4 slope is 6 y intercept(0,-4)
y=5x-3 slope is 5 y intercept (0,-3)
solution of the pair of equation is the point of intersection :
6x-4=5x-3
6x-5x=-3+4
x=1 and y=6x-4 ⇒ y=6-4=2
<h2>(1,2)</h2>
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Answer:
x = 5
Step-by-step explanation:
10 * 7 = x * 14
10 * 7 = 70
14 * x = 14x
14x = 70
divide each side by 14
14x / 14 = x
70 / 14 = 5
we're left with x = 5
Given:
Point = (8, 4)
To find:
The slope-intercept form of the equation of the line.
Solution:
Slope of this line = .
Slope of the line is same as the slope of .
Slope of the line (m) =
General form of line:
y = mx + b
---------- (1)
It contains the point (8, 4). Substitute x = 8 and y = 4 in (1).
Subtract 4 from both sides, we get
b = 0
Substitute b = 0 in (1).
Equation of the line:
<u>Complete the sentence:</u>
; I used the general form of a line in slope-intercept form, y = mx + b. The slope, m is
. Then I substituted 8 for x and 4 for y into the standard form and solved for b, which is 0.