Answer: y = ¹/₅ x + 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, (10, 7) and (0, 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)
= (7 - 5) ÷ (10 - 0)
= ¹/₅
Finding the Equation
The slope-intercept form is y = mx + c, where c is the y-intercept.
Now, the y-intercept occurs when x = 0.
Since we have that point (0,5), then it implies that the y-intercept = 5.
∴ the equation of the line is y = ¹/₅ x + 5
To test my answer, I have included a Desmos Graph that I graphed using the information provided in the question and my answer.
