Answer:
y = - 2x + 3
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
Calculate m using the gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (1,1)
m = = - 2
note the line passes through (0, 3) ⇒ c = 3
y = - 2x + 3 ← equation in slope-intercept form
Answer:
Please check the explanation.
Step-by-step explanation:
If each linear function is given as a set of two ordered pairs, all we need is to find a slope between two lines and put one of the points in the slope- intercept form of the line equation to find the y-intercept 'b' and then writing the equation in the slope-intercept form. This is how we can generate a system of equations.
For example, let suppose a linear function has the following ordered pairs:
Finding the slope between two points
We know that the slope-intercept form of the line equation is
where m is the slope and b is the y-intercept
Now, substituting the slope m = 2 and the point (1, 1) to determine the y-intercept
Now, substituting the slope m = 2 and the value of y-intercept in the slope-intercept form of the line equation
Thus, the equation of a line with the linear function having the points (1, 1) and (2, 3) is:
This is how a system of equations created when each linear function is given as a set of two ordered pairs.