Final answer:
The equation of the line that goes through the points (-7,-2) and (-3,0) can be written as y = (1/2)x + 3/2, where (1/2) is the slope and 3/2 is the y-intercept.
Step-by-step explanation:
The equation of the line that goes through the points (-7,-2) and (-3,0) can be written in the form y = mx + b. In this form, m represents the slope and b represents the y-intercept. To find the slope, we use the formula: m = (y2 - y1)/(x2 - x1). Plugging in the values, we have: m = (0 - (-2))/(-3 - (-7)) = 2/4 = 1/2. Next, we need to find the y-intercept. We can use one of the points given in the question to substitute into the equation and solve for b. Using the point (-3, 0), we have: 0 = (1/2)(-3) + b. Solving for b, we get: b = 3/2. Therefore, the equation of the line is y = (1/2)x + 3/2.