Question

What is the equation of the line with a slope of 2/3 and a y-intercept of −9/7 ?

a) y = (2/3)x - 9/7
b) y = (2/3)x + 9/7
c) y = -(2/3)x - 9/7
d) y = -(2/3)x + 9/7

Answer 1

The equation of the line with a slope of 2/3 and a y-intercept of -9/7 is y = (2/3)x - 9/7.

Step-by-step explanation:

The equation of a line can be written in the slope-intercept form, which is usually expressed as y = mx + b, where m is the slope and b is the y-intercept. For a line with a slope of 2/3 and a y-intercept of -9/7, you use these values for m and b respectively in the slope-intercept form of the equation. Thus, the correct equation of this line is y = (2/3)x - 9/7. This equation accurately represents a line with a slope of 2/3 and a y-intercept of −9/7. Each term in the equation corresponds to the slope, the variable, and the y-intercept, respectively.