To solve this, you know that both values listed (4x - 3 and -3x + 4) are equal to y, so you know that they also must be equal to each other! Therefore you can form the following equation:
4x - 3 = -3x + 4
Now you can add -3x to both sides to combine like terms:
7x - 3 = 4
Now add 3 to both sides:
7x = 7
Now if you divide everything by seven, you see that x = 1. Now that we have out x value, we can go ahead and plug it into one of the equations. This gives us:
y = 4(1) - 3
If we multiply out, we get:
y = 4 - 3
y = 1
So y also equals 1! Now that we have our answers, we can simply put them into an ordered pair which should be in the form of (x value, y value.)
Our final answer will be (1, 1).
Hope this helps!
Do a ratio problem:
42/60=x/320
x= 224 students ride the bus to school
The answer to this question is 7/14.
Answer:
y = x - 8
Step-by-step explanation:
The equation of the straight line which is perpendicular to the straight line y = -x -3, will be y = x + c' ....... (1), where c' is a constant.
{This is because the product of the slopes of two mutually perpendicular straight line is -1}
Now, (3,-5) point satisfies equation (1).
Hence, -5 = 3 +c', ⇒c' = -8.
Therefore, the equation of the required straight line in slope-intercept form is y = x - 8 (Answer)
{Note: The slope-intercept form of a straight line is y = mx + c, where m is the slope of the line i.e. tanФ, and c is the length of y-axis intercept.}
By definition of <em>linear</em> functions and the comparison with the attached figure, the function that represents the graph is y = (7/15) · x + 4, - 6 ≤ x ≤ 9.
<h3>What kind of function represents the graph?</h3>
Graphically speaking, <em>linear</em> functions represent lines and we see that the line seen in the figure presents two bounds, the points (- 6, 0) and (9, 7). <em>Linear</em> functions are characterized by slope and intercept:
y = m · x + b (1)
Slope
m = (7 - 0)/[9 - (- 6)]
m = 7/15
Intercept
b = 4
By definition of <em>linear</em> functions and the comparison with the attached figure, the function that represents the graph is y = (7/15) · x + 4, - 6 ≤ x ≤ 9.
To learn more on linear functions: brainly.com/question/14695009
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