Question

What is an equation of the line that passes through the points (2,-6) and (1,-1)
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Answer 1

y=-5x+4

Explanation:

First find the slope of the line by doing (y2-y1)/(x2-x1). This translates to

(-1-(-6))/(1-2). This gives you a slope of -5. Now, you have y=-5x+b. To solve for b, plug in a coordinate point. So this would now be -6=-5(2)+b, which translates to -6=-10+b. Now add 10 to both sides, and you get 4=b. Now you have all the parts you need to write the equation of the line.