Answer:
y = -4/7x + 11
Step-by-step explanation:
Given the slope, m = -4/7, and the set of ordered pairs, (14, 3):
We can substitute these values into the slope-intercept form, y = mx + b, and solve for the y-intercept:
Let x = 14
y = 3
m = -4/7
y = mx + b
[tex]3 = -\frac{4}{7}(14) + b[/tex]
3 = -8 + b
Add 8 on both sides of the equation to solve for y-intercept, b:
3 + 8 = -8 + b + 8
11 = b
Therefore, given our slope, m = -4/7, and our y-intercept, b = 11:
Our linear equation in slope-intercept form is:
y = -4/7x + 11.
