Final answer:
The equation of the straight line with coordinates (-4, -2) and (4, 4) is y = (3/4)x + 1.
Step-by-step explanation:
The equation of a straight line can be found using the formula y = mx + b, where m is the slope and b is the y-intercept. To find the slope, we can use the coordinates of two points on the line: (-4, -2) and (4, 4).
The slope m can be calculated using the formula: m = (y2 - y1) / (x2 - x1). Substituting the coordinates into the formula, we get: m = (4 - (-2)) / (4 - (-4)) = 6 / 8 = 3/4.
So, the equation of the straight line is y = (3/4)x + b. To find the y-intercept b, substitute the coordinates of one of the points into the equation. Using the point (4, 4), we get: 4 = (3/4)(4) + b. Solving for b, we get: b = 4 - 3 = 1.
Therefore, the equation of the straight line is y = (3/4)x + 1.