Question

Find the equation of the line that goes through the points (4, –1) and (2, –5). Use slope formula m=y2-y1 / x2-x1equation,to find the slope of a line that passes through the points. m = Use slope-intercept form, y = mx + b, to find the y-intercept (b) of the line. b = Write the equation in slope-intercept form, y = mx + b.

Answer 1

y = 2x - 1

Explanation:

SO.

slope formula is y^2 - y^1 over x^2 - x^1.

y^2 - y^1

x^2 - x^1.

Like that but in fraction form.

SO, substitute the points for the x's and y's. Doesn't matter which points you use for the first or second, as long as you're consistent.

-5 - (-1) = -4

2 - 4 = -2

-4 / -2 = 2.

So, that is the (mx) part of y = mx +b

With finding the y intercept, change (y = mx + b) to (b = y + mx).

Substitute mx for the slope.

b = y + 2x

Now, take a y and x value from one of the points given. I will use (2, -5 )

b = -5 + 2(2)

b = -5 + 4

b = -1

Now that we have the slope and y intercept, we put it together.

y = 2x - 1