6. What is an equation in slope-intercept form for the line that passes through the points and (3, 1)? y= 3x + 1 y=x-3 y=2x + 5 y= 2x - 5

The correct answer is D) y = 2x - 5

To find the equation of the line, start by finding the slope. You can do this by using the slope formula below.

m(slope) = (y2 - y1)/(x2 - x1)

m = (1 - -3)/(3 - 1)

m = 4/2

m = 2

Now that we have the slope, we can use it along with either point in point-slope form to get the equation.

y - y1 = m(x - x1)

y - 1 = 2(x - 3)

y - 1 = 2x - 6

y = 2x - 5

y=2x-5

the points are 4 points away from each other vertically, and 2 away horizontally. This makes the slope 4/2 or just 2.

take the slope and go backwards until you hit the y axis and the y-intercept is -5

this means the equation is y=2x-5

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