Question

Which function represents the line graphed on the coordinate plane?A line is graphed on a four quadrant coordinate plane. The x-axis and the y-axis go from negative 10 to 10 in increments of 1. The line passes through (0, negative 7) and (4, 3).f(x)=−52x+7f(x)=52x−7f(x)=25x−7f(x)=−25x−7 .

Answer 1

The function representing the line that passes through the points (0, -7) and (4, 3) is f(x) = (5/2)x - 7, with a slope of 5/2 and a y-intercept of -7.

Step-by-step explanation:

To find which function represents the line graphed on the coordinate plane that passes through the points (0, -7) and (4, 3), we need to determine both the slope and the y-intercept of the line.

First, calculate the slope (m) using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points the line passes through. Using (0, -7) and (4, 3), we find:

m = (3 - (-7)) / (4 - 0) = 10 / 4 = 5 / 2

Now we know the slope of the line is 5/2. The line also passes through the point (0, -7), which means the y-intercept (b) is -7. Therefore, the function can be written in slope-intercept form as f(x) = (5/2)x - 7.