Write the equation of the line in standard form (𝑎𝑥 + 𝑏𝑦 = 𝑐) that goes through the points (5, 2) and (7, 12).

Answer 1

slope = (12-2) / (7-5) = 5

So, the slope-intercept form is y = 5x + b

Since (5,2) is on the graph, we have 2 = 5(5) + b. So, b = -23

y = 5x - 23

So, 5x - y = 23

Answer 2

Find a, b , and c using the given coordinates (5,2) and (7,12)

5X - Y = 23

Answer 3

Let's start with y = mx + b

m = (12 - 2)/(7 - 5) = 10/2 = 5

Now, use either point and solve for b.

2 = 5(5) + b

2 = 25 + b

b = -23

y = 5x - 23

5x - y = 23