Answer:
y= -2x+6
Explanation:
To write the equation of a line in slope-intercept form (y = mx + b), you need to find both the slope (m) and the y-intercept (b). You can use the given points (-2, 10) and (5, -4) to find these values.
First, calculate the slope (m) using the formula:
m = (y2 - y1) / (x2 - x1)
Let's use the points (-2, 10) and (5, -4):
m = (-4 - 10) / (5 - (-2))
m = (-4 - 10) / (5 + 2)
m = (-14) / (7)
m = -2
Now that you have the slope (m), you can use one of the points, say (-2, 10), to find the y-intercept (b) in the equation y = mx + b:
10 = (-2)(-2) + b
Now, solve for b:
10 = 4 + b
Subtract 4 from both sides:
b = 10 - 4
b = 6
So, you've found that the slope (m) is -2, and the y-intercept (b) is 6. Now, you can write the equation of the line in slope-intercept form:
y = -2x + 6