Question

Write the in slope intercept form. It has coefficient m=-4/7 and passes through the point (14,3)

Answer 1

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

$3 = -\frac{4}{7}(14) + b$

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.