Question

Choose the equation of the line that matches the information given in the box:

Slope = -2/5
Y-intercept = 9

A. y = 2/5 x + 9
B. y = −2/5x − 9
C. y = 9x − 2.75
D. y = −2/5x+9

Answer 1

The equation of the line with a slope of -2/5 and a y-intercept of 9 is represented by the equation y = -2/5x+9, which matches option D.

Step-by-step explanation:

To find the equation of the line that matches the given slope and y-intercept, we will use the slope-intercept form of a line, which is y = mx + b, where b is the y-intercept and m is the slope. Given the slope of -2/5 and a y-intercept of 9, we directly substitute these values into the equation, resulting in y = (-2/5)x + 9.

The correct choice is:

• D. y = −2/5x+9

Choices A, B, and C are incorrect as they do not match both the provided slope and y-intercept values.