Final answer:
To find the equation of the line containing the points (-2,0) and (0,3), calculate the slope which is 3/2, and then use the point-slope form to get the equation y = (3/2)x + 3.
Step-by-step explanation:
To find an equation of the line containing the given pair of points (-2,0) and (0,3), we first need to determine the slope of the line (m). The slope is calculated with the formula m = (y2 - y1) / (x2 - x1). Plugging in our points, we get m = (3 - 0) / (0 - (-2)) = 3 / 2.
Now, using the point-slope form of the equation of a line, which is y - y1 = m(x - x1), and choosing one of the given points to plug in, let's use (-2,0):
y - 0 = (3/2)(x - (-2))
y = (3/2)x + 3
This is the equation of the line in slope-intercept form, where the y-intercept (b) is 3.