Final answer:
The equation of the straight line PQ is y = (3/2)x + 6, and the y-intercept is 6.
Step-by-step explanation:
To find the equation of the straight line PQ where P(-2,4) and Q(2,10), we can use the slope-intercept form of a linear equation, which is y = mx + b.
First, we need to find the slope (m) of the line.
The formula for slope is m = (y2 - y1) / (x2 - x1). Plugging in the coordinates of P and Q, we get m = (10 - 4) / (2 - (-2)) = 6 / 4 = 3/2.
Now we can substitute the slope and one of the points (P) into the equation to find the y-intercept (b).
Using the point-slope form of a linear equation, y - y1 = m(x - x1), we have y - 4 = (3/2)(x - (-2)). Simplifying, we get y - 4 = (3/2)(x + 2).
Expanding and rearranging, y = (3/2)x + 6.
Therefore, the equation of the straight line PQ is y = (3/2)x + 6, and the y-intercept is 6.