What is the slope and y-intercept of the line represented by the equation below?
13x - 8y = 12
A. slope = 13/8 ; y-intercept = -3/2
B. slope = -13/8; y-intercept = 3/2
C. slope = 13/8; y-intercept = 3/2
D. slope = -13/8; y-intercept = -3/2
thanks!
To determine the slope and y-intercept of the line represented by the equation 13x - 8y = 12, we need to rewrite the equation in the slope-intercept form, which is y = mx + b, where m represents the slope and b represents the y-intercept.
To rewrite the equation in slope-intercept form, we need to isolate y on one side of the equation. Let's start by moving the 13x term to the other side:
-8y = -13x + 12
Next, we divide both sides of the equation by -8 to isolate y:
y = (13/8)x - 12/8
Simplifying further:
y = (13/8)x - 3/2
Now we can compare this equation to the slope-intercept form, where we can see that the slope is (13/8) and the y-intercept is -3/2.
Therefore, the correct answer is:
A. slope = 13/8 ; y-intercept = -3/2