What is the equation in slope-intercept form for a line that passes through the points (-3, 6) and (9, 10)?

Answer 1

The equation in slope-intercept form for a line is given by y = mx + b, where m is the slope and b is the y-intercept.

1. Find the slope (m) using the formula: m = (y2 - y1) / (x2 - x1)
m = (10 - 6) / (9 - (-3))
m = 4 / 12
m = 1/3

2. Use one of the given points, (-3, 6), and substitute the values of x, y, and m into the equation to solve for b:
y = mx + b
6 = (1/3)(-3) + b
6 = -1 + b
b = 6 + 1
b = 7

3. The equation in slope-intercept form is:
y = 1/3 x + 7