What is the slope and y-intercept for the line represented by this equation? 5x + 13y =–13
Mathematics · High School · Mon Jan 18 2021
Answered on
Given the equation:
5x + 13y = -13
Determine the slope and y-intercept.
Solution:
In order to determine the slope and the y-intercept, we must first equate the equation in slope-intercept form.
Slope-intercept form:
y = mx + b
m = slope
b = y-intercept
To do so, we simply need to solve for y. Transpose 5x to the other side of the equation, and then divide both sides by 13 in order to determine the value of y.
5x + 13y = -13
13y = -5x - 13
13y/13 = (-5x - 13)/13
y = -5/13 x - 1
Slope = -5/13
y-intercept = -1
Final answer:
Slope = -5/13
y-intercept = -1