Question

question 1 of 10
which equation represents the slope - intercept form of the line below?
y - intercept = (0, 2)
slope = -\frac{3}{7}
a. $y = 2x + \frac{3}{7}$
b. $y = -\frac{3}{7}x - 2$
c. $y = 2x - \frac{3}{7}$
d. $y = -\frac{3}{7}x + 2$

Explanation:

Step1: Recall slope - intercept form

The slope - intercept form of a linear equation is given by \( y=mx + b \), where \( m \) is the slope of the line and \( b \) is the \( y \)-intercept.

Step2: Identify \( m \) and \( b \) from the problem

We are given that the slope \( m=-\frac{3}{7} \) and the \( y \)-intercept \( b = 2 \) (since the \( y \)-intercept is at the point \( (0,2) \)).

Step3: Substitute \( m \) and \( b \) into the slope - intercept form

Substituting \( m = -\frac{3}{7} \) and \( b = 2 \) into \( y=mx + b \), we get \( y=-\frac{3}{7}x+2 \).

Answer:

D. \( y = -\frac{3}{7}x + 2 \)