Answer:
y - 1 = (x - 3)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Calculate m using the slope formula
m =
with (x₁, y₁ ) = (0, - 1) and (x₂, y₂ ) = (3, 1) ← 2 points on the line
m = =
and using (a, b) = (3, 1 ) , then
y - 1 = (x - 3)
We know that the graph of a function is a line that passes through the coordinates (2, 11) and (8, 14) and we must find the equation for the line.
1. We must use the next formula to find the slope
Where (x1, y1) and (x2, y2) are the points.
Now, replacing the points in the formula for the slope
2. We must replace the slope and one of the points in the next formula
Now, replacing the slope and the point (2, 11)
3. We must delete the parenthesis and solve the equation for y
ANSWER: