Final answer:
The equation of the line passing through the points (3, 10) and (2, 4) in slope-intercept form is y = -6x + 28.
Step-by-step explanation:
To find the equation of the line passing through the points (3, 10) and (2, 4) in slope-intercept form, we need to find the slope and the y-intercept. The slope (m) can be calculated using the formula: m = (y₂ - y₁)/(x₂ - x₁).
Substituting the given values into the formula, we get m = (4 - 10)/(2 - 3) = -6.
Now that we have the slope, we can use the point-slope form of the equation of a line: y - y1 = m(x - x₁).
Substituting one of the given points (3, 10) and the calculated slope (-6) into the equation, we get y - 10 = -6(x - 3).
Simplifying, we get y - 10 = -6x + 18. Finally, rearranging the equation to slope-intercept form, we get y = -6x + 28.