Answer: y = −1.5x + 2.5
Step-by-step explanation:
For us to write the equation for this line, we need to (1) find the slope of the line, and (2) use one of the points to write an equation:
The question gives us two points (one of which is the y-intercept), (4.5,-4.25), and (0, 2.5), from which we can find the slope and later the equation of the line.
Finding the Slope
The slope of the line (m) = (y₂ - y₁) ÷ (x₂ - x₁)
= (2.5 - (- 4.25)) ÷ (0 - 4.5)
= −1.5
Finding the Equation
Now that we know the slope and the y-intercept, we can write the equation of the line in the point-slope form (y = mx + b)
y = −1.5x + 2.5
Checking my answer:
I used Desmos to graph the line I got and the points. Since the line passes through the points then the line is correct.
