Question

What is the equation in slope-intercept form a the line that passes through the points (4, -1) and (2, 11)

Answer 1

Answer:

Step 1: use the given points and plug it into the slope formula y₂ - y₁/x₂ - x₁ to find slope:

$\frac{11 - (-1)}{2 - 4}\\\\\frac{12}{-2} \\\\-6$

Step 2: use the slope we found and one of the given points and plug it into the formula y = mx + b to find the y-intercept, b:

$y = mx + b\\\\-1 = -6(4) + b\\\\2 = -24 + b\\\\26 = b$

Step 3: Put it all together:

y = -6x + 26