Answer:
D, infinitely many solutions
Step-by-step explanation:
1. multiply out
5(x-3) = 5x-15
2. combine like terms
5x-15-3x=8x-15-6x = 2x-15=2x-15
they are equal so there are infinite solutions.
The slope of the line is 2 whose equation is given by y = 2x.
The given equation is y = 2x
The general equation of the line is given by
y = mx +c where m is the slope and c is the intercept of the line.
The slope of line a line's steepness can be determined by looking at its slope. The slope is calculated mathematically as "rise over run."
The intercept of the line is a point on the y-axis known as an intercept is where the line's slope passes.
On Comparing the given equation with the general equation, we have:
m = slope = 2
Thus the slope of the line is 2.
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Answer:
An equation in standard form for the line is:

Step-by-step explanation:
Given the points
The slope between two points




Writing the equation in point-slope form
As the point-slope form of the line equation is defined by

Putting the point (-2, -1) and the slope m=1 in the line equation



Writing the equation in the standard form form
As we know that the equation in the standard form is

where x and y are variables and A, B and C are constants
so


Therefore, an equation in standard form for the line is:

In what we have to convert