Answer:
Slope = 5
Y-intercept = 20
Step-by-step explanation:
Given the table of values, choose two ordered pairs to use for solving the slope of the line.
Let (x1, y1) = (2, 30)
(x2, y2) = (4, 40)
Substitute these values into the slope formula:
m = (y2 - y1)/(x2 - x1)
m = (40 - 30)/(4 - 2)
m = 10/2
m = 5
The slope of the line is 10.
Next, to find the y-intercept (b), use one of the given points (2, 30) and the slope (m = 10) and substitute their values into the slope-intercept form:
y = mx + b
30 = 5(2) + b
30 = 10 + b
Subtract 10 from both sides to isolate and solve for b:
30 - 10 = 10 - 10 + b
20 = b
Given the slope, m = 5, and y-intercept, b = 20:
The linear equation is: y = 10x + 20
