Final answer:
To write an equation in slope-intercept form using the given points, find the slope using the formula (y2 - y1) / (x2 - x1) and substitute the values into y = mx + b, where m is the slope and b is the y-intercept.
Step-by-step explanation:
To write an equation in slope-intercept form, we need to use the formula: y = mx + b, where m represents the slope and b represents the y-intercept.
Using the given points (-6, 3) and (8, 10), we can find the slope (m) using the formula:
m = (y2 - y1) / (x2 - x1)
Substituting the values, we get:
m = (10 - 3) / (8 - (-6)) = 7 / 14 = 1/2
Now, we can choose any one point (let's choose (-6, 3)) and substitute the values of x, y, and the slope into the slope-intercept form equation:
y = mx + b
3 = 1/2(-6) + b
3 = -3 + b
b = 6
Thus, the equation in slope-intercept form is y = (1/2)x + 6.
Learn more about Slope-intercept form of an equation