Final answer:
To find the solution to the system using the given points, we need to find the equation of the line passing through those points. We can use the formula for the equation of a line, y = mx + b, where m is the slope and b is the y-intercept.
Step-by-step explanation:
To find the solution to the system using the given points, we need to find the equation of the line passing through those points. We can use the formula for the equation of a line, y = mx + b, where m is the slope and b is the y-intercept.
First, let's find the slope using the formula: m = (y2 - y1) / (x2 - x1). Plugging in the values from the points (0,10) and (-4,2), we get m = (2 - 10) / (-4 - 0) = -8 / -4 = 2.
Next, we can use one of the given points and the slope to find the y-intercept. Let's use the point (0,10): 10 = 2(0) + b. Solving for b, we find b = 10.
Therefore, the equation of the line passing through the points (0,10) and (-4,2) is y = 2x + 10.