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