The lines are parallel.
The slopes are equal.
<h2>
Explanation:</h2>
The standard form of the equation of a line is given by the form:
On the other hand, the slope-intercept form of the equation of a line is given by the form:
So let's convert each equation from the standard form to the slope-intercept form:
So, for the first equation:
So, for the second equation:
As you can see both equations have the same slope but different y-intercepts meaning that they are parallel. So these are the correct options:
The lines are parallel.
The slopes are equal.
<h2>Learn more:</h2>
Graph linear equations: brainly.com/question/13799715
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G(x) = sqrt(x + 3) is obtained from f(x) = sqrt(x) by shifting the graph of f, 3 units to the left.
Answer:
32/3
Step-by-step explanation:
First you need to understand the slope-intercept form
y = mx +b
m = the slope of the line
b = the y-axis intercept
y and x represent the coordinates of a point on the line
So for the equation that you listed we know that the slope, m , is (3/4). We also know a given point on the line. therefore we also have a y value (1/3) and a x value (4).
So plug in the numbers:
(1/3)=(3/4)*4 + b
So to find the equation of this line we must solve for b
Multiply (3/4) and 4 to get 3
(1/3) = 3 + b
Now subtract 3 from both sides in order to isolate b
-2 2/3 = b or -8/3 = b
Now rewrite the equation with the y-intercept, b.
y = (3/4)x - (8/3)
From the wording I am assuming you are given a list of equations to chose from. It is possible that the some of all of the equations are listed in standard form. In that case, we need to find the equation:
Ax + By = C
To do that we simply take the slope intercept equation and manipulate it algebraically
y = (3/4)x - (8/3) First subtract (3/4)x from both sides
-(3/4)x + y = -(8/3) This is technically standard form but we can clean it up a bit by multiplying both sides of the equation by -4.
So -4 * -(3/4)x = 3x
-4 *y = -4y
-4 *-(8/3) = 32/3
So 3x - 4y = 32/3
I hope this helps
Answer:
I think your correct
Step-by-step explanation:
