Question

A line passes through the points (0, 7) and (2, 3). Given this information, complete the equation below (y= mx+b) by determine the slope and y-intercept.

Answer 1

y = -2x + 7

Explanation:

Given: (0, 7) and (2, 3)

Using the slope-intercept formula: y2-y1/x2-x1

3-7/2-0 = -4/2 = -2

Y-intercept:

Use y= mx + b to find the y-intercept (b). For this, I will be using the coordinates (2, 3). Plug 2 into x and 3 into y, then solve.

3 = -2(2) + b

3 = -4 + b

7 = b

Form the equation together:

y = -2x + 7