Write the equation of the line that connects the point (-4,0) and (2,3).

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!