Find the y-intercept of a line that passes through (-6,-1) and has a slope of 5 over 7

Question

Find the y-intercept of a line that passes through (-6,-1) and has a slope of 5 over 7

Answer 1

First; find the equation of the line using the formula:

 

y - y1 = m(x - x1)

 

y - (-1) = 5/7*(x - (-6))

 

y + 1 = 5/7*(x + 6)

 

y + 1 = 5/7*x + 5/7*6

 

y = 5/7*x + (30/7 - 1)

 

y = 5/7*x + 23/7

 

comparing with the slope intercept form of; y = mx + c

 

thus the y intercept is 23/7 or 3 2/7 or 3.29

 

checking; -1 = 5/7*(-6) + 23/7 = -1 (proven)