A line passes through the points (7, 8) and (0, 6). What is its equation in slope-intercept form? Write your answer using integers, proper fractions, and improper fractions in simplest form.

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Answer:

y = 2/7 x + 6

Step-by-step explanation:

Slope-intercept form is a fill-in-the-blank formula for the equation of a line. It is y=mx+b, where m is the slope and b is the y-intercept (hence the name slope-intercept) The y-intercept is where the line crosses the y-axis; it is where x is 0. The point (0,6) is the y-intercept. When x is 0, y is 6. So 6 is the y-intercept. 6 is b. Fill in 6 for the b in

y = mx + b, like this:

y = mx + 6

Slope you can see on a graph by graphing the two points. Or you can calculate it. Subtract the y's and put that on top of a fraction. Subtract the x's and put that on the bottom of the fraction. Using (7,8) and (0,6) we get 8-6 is 2, put it on top. 7-0 is 7, put it on the bottom. Slope is 2/7. 2/7 is m, fill in 2/7 for m.

y = 2/7x + 6

The y and x stay right there, leave them there. Also the 2/7 is beside the x. Don't put x down on the bottom with the 7. Hope this helps!

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