Question

Find the equation of the line that passes through points A and

XA (4, 7)
B (2, 3)
E
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Answer 1

Y= 2x - 1

Explanation:

I will give you the solution for y = mx + b because it is a line.

First, find the slope.

The formula for the slope is (y2 - y1)/(x2 - x1)

I'm going to use A as y2 and x2, so it's easier because it'll give me positive numbers.

(7 - 3)/(4 - 2) = 4/2 = 2

2 is your m value.

Now you have y = 2x + b

Next, input an x and a y value to find b.

Let's take the x and y from our B value.

3 = 2(2) + b

3 = 4 + b

3 - 4 = b (Bring the value over to the other side, change the sign)

-1 = b

So, your answer is y = 2x - 1

Answer 2

y = 2x - 1 is the required equation

Explanation:

slope(m) = (3-7)/(2-4)

m = -4/(-2)

so, m = 2

Now,

y = mx + b

or, y = 2x + b

so, 3 = 2*2 + b

or, 3 = 4 + b

so, b = -1

equation would be y = 2x - 1