answer: y = -1/2x + 1
work:
let's use slope intercept form, or y = mx + b to represent the equation. (m = slope, b = y-intercept)
first, let's find the slope, or m. to do this, subtract the y values over the x values.
4 - 2 / - 6 - - 2 (next: subtract the values)
2 / - 4 (next: simplify)
1 / -2 (next: write as a fraction)
-1/2
so, the slope is -1/2. let's place this into the equation.
y = -1/2x + b.
okay, so to find b, or the y intercept, plug a value for x and y into the equation and solve.
4 = -1/2(-6) + b (next: multiply)
4 = 3 + b (next: subtract 3 from both sides)
1 = b
so, let's place that into our equation:
y = -1/2x + 1 , this is your complete equation.
hope this helps and have a great day!