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1 answer:
Slope-intercept form: y = mx + b
(m is the slope, b is the y-intercept or the y value when x = 0 --> (0, y) or the point where the line crosses through the y-axis)
To find the slope (m), use the slope formula:
And plug in the two points
(3, -8) = (x₁, y₁)
(6, -4) = (x₂, y₂)
(two negative signs cancel each other out and become positive)
Now that you know the slope, substitute/plug it into the equation
y = mx + b
To find b, plug in either of the points into the equation, then isolate/get the variable "b" by itself. It doesn't matter which. I will use (3, -8)
-8 = 4 + b Subtract 4 on both sides to get "b" by itself
-12 = b
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