Question

Write a slope-intercept equation for a line with the given characteristics

M= 5/14, passes through (7,8)

I don’t understand how or where the -5/2 came about

Answer 1

y = (5/14)x + 11/2

Explanation:

Slope-intercept form is y = mx + b (where m is the gradient/slope and b is the y-intercept)

We know that m = 5/14, so the equation so far is: y = (5/14)x + b

To work oue the y intercept (b), we need to sub in x = 7, and y = 8 into the equation so far, since (7,8) is a point on the line

8 = (5/14)7 + b; next rearrange to find b

8 = 5/2 + b; subtract 5/2 from both sides

8 - 5/2 = b (that's where -5/2 came from); simplify

b = 11/2

Therefore the equation of the line is y = (5/14)x + 11/2

Hope this helps!