Final answer:
The equation of the line in slope-intercept form that passes through the points (4,1.7) and (2,1.3) is y = 0.2x + 0.9.
Step-by-step explanation:
To find the equation of the line in slope-intercept form that passes through the points (4,1.7) and (2,1.3), you need to calculate its slope (m) and y-intercept (b).
First, calculate the slope using the formula m = (y2 - y1) / (x2 - x1). For the given points, it's m = (1.7 - 1.3) / (4 - 2) = 0.4 / 2 = 0.2.
Then find the y-intercept by substituting a point and the slope into the equation y = mx + b. Using (4,1.7), we get 1.7 = 0.2(4) + b, which simplifies to b = 1.7 - 0.8 = 0.9.
Thus, the equation of the line is y = 0.2x + 0.9.