Point/Slope Form of an equation!
(5,3)
slope of -2/5
x= 5
y = 3
y - y1 = m(x-x1)
y - 3 = -2/5(x-5)
y - 3 = -2/5x + 2
y = -2/5x + 5
x intercept of 5
Hi there!

To derive an equation given the points, we can use the slope formula:

Plug in the corresponding coordinates:

Simplify:

Therefore, we have:
y = -4x + b
Plug in the x and y values for a coordinate to solve for b:
2 = -4(1) + b
2 = -4 + b
b = 6
The equation is:
y = -4x + 6. The correct answer is D.
The interval of the provided inequality expression is -5/9 to the infinity [(-5/9),∞) using the table of signs to solve the inequality.
<h3>What is the inequality equation?</h3>
Inequality equation is the equation in which the two expressions are compared with greater than, less than or other inequality signs.
The inequality given in the problem is,

Simplify the equation first by adding the same terms,

Now in this case, if the value x is ranges from -5/9 to infinity.
Thus, the interval of the provided inequality expression is -5/9 to the infinity [(-5/9),∞) using the table of signs to solve the inequality.
Learn more about the inequality equation here:
brainly.com/question/17724536
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