Answer:
.
Step-by-step explanation:
A point of the form
belongs to the graph of this function,
, if and only if the equation of this function holds after substituting in
and
.
The question states that the point
belongs to the graph of this function. Thus, the equation of this function,
, should hold after substituting in
and
:
.
.
Solve this equation for the constant
:
.
Thus,
.
As per inequality, it means that the value of x can be less than or equal to y.
Inequality in Mathematics
The two expressions that make up an equation or an inequality are connected in a mathematical statement. The equal sign (=) in an equation denotes the equality of the two expressions. The symbols >, <, ≤, or ≥ are used to denote an inequality, when the two expressions aren't always equal.
Type of Inequality
The given expression, x <= y denotes the type of inequality where the possible values of x are either less than y or equal to less. The value of x cannot be greater than y in any case.
Learn more about inequality here:
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Answer:
This is a linear equation, there's nothing to simplify.
The slope in this equation is 1.25
The y-intercept of this equation is 10
Answer:
y - 3 = -1/2(x-1)
Step-by-step explanation:
Given the coordinates (1, 3) and (5,1). The point slope form is expressed as;
y - y0 = m(x-x0)
m is the slope
(x0, y0) is the required point
Get the slope
m = 1-3/5-1
m = -2/4
m = -1/2
Using the point (1,3), substitute
y - 3 = -1/2(x-1)
2(y-3) = -(x-1)
Hence the required equation is y - 3 = -1/2(x-1)