To solve this problem, we must first find the slope of these two points. We find the slope using the formula m = y2-y1/x2-x1, where the variable m represents the slope. If we plug in the values given in the ordered pairs into the formula, we get:
m = y2-y1/x2-x1 = (3-0)/(2-(-4))
To simplify this, we must first compute the subtraction in the numerator and denominator.
(3-0)/(2-(-4)) = 3/6 = 1/2
Now, we can substitute this value for m and use one of the ordered pairs given to solve for the value of b in slope-intercept form:
y = mx + b
3 = (1/2)(2) + b
To solve this equation, we must first compute the multiplication on the right side of the equation.
3 = 1 + b
Next, we can subtract 1 from both sides of the equation to get the variable b alone.
2 = b
Now, we must substitute this value for b back into our equation for slope-intercept form to get our final answer.
y = 1/2x + b
y = 1/2x + 2
Therefore, your answer is y = 1/2x +2.
Hope this helps!
