Final answer:
The slope-intercept form of the line containing the points (7, –9) and (8, –7) is y = 2x – 23, which corresponds to option a.
The correct option is a.
Step-by-step explanation:
The question asks to determine the slope-intercept form of a line that contains the points (7, –9) and (8, –7). To find the slope-intercept form, we need to calculate the slope (m) and the y-intercept (b) of the line using the formula y = mx + b.
First, we calculate the slope using the given points:
m = (y2 – y1) / (x2 – x1) = (–7 – –9) / (8 – 7) = 2.
Since the slope m is 2, we can rule out any equation that doesn't have a slope of 2. This leaves us with options a and c. Now we need the y-intercept b. Substituting one point (7, –9) into the equation gives us –9 = (2)(7) + b. Solving for b gives b = –23.
Thus the correct slope-intercept form of the line is y = 2x – 23, which corresponds to option a.
The correct option is a.