-2x + 6y= 18 is in standard form, use y=mx+b to solve that.
The line passes through (2,-3) and (4,2).
Calculate the slope of the line.
m = (2+3)/(4-2) = 5/2
The equation of the line is therefore
Cross multiply.
2(y-2) = 5(x-4)
2y - 4 = 5x - 20
2y = 5x - 16
Rewrite as
5x - 2y = 16
Answer: C. 5x - 2y = 16
slope = 13
the slope of the tangent is f'( 4)
given f(x) = x² + 5x , then f'(x) = 2x + 5
and f'(4) = ( 2 × 4 ) + 5 = 13
An equation is formed of two equal expressions. The graph for the given situation can be drawn as shown below.
<h3>What is an equation?</h3>
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
<h3 />
A graph is a way to represent a lot of data in such a visual format that it is easy for the user to understand the complete information in one go. Usually, the line of the graph is a function that follows the graph.
The graph for the given equation y=-5x+2 can be drawn as shown below.
<h3 />
Learn more about Equation:
brainly.com/question/2263981
<h3 />
#SPJ1
1. A
Since parallel lines never cross, then there can be no intersection; that is, for a system of equations that graphs as parallel lines, there can be no solution. This is called an "inconsistent" system of equations, and it has no solution.
--------------------------------------------------------------------------------------------------------------
2. C
That's right. If a system of equations has a solution, then their graphs intersect, and the point where they intersect is the solution because it's the point that satisfies each equation in the system.
Straight-line graphs with the same slope are parallel lines, and they never intersect, which is another way of saying they have no solution.