Question

2. A line goes through the points (4, 5) and (2, -6). Write the equation of the line in slope-intercept form. Show your work for full credit. (How did you go from those two points to having the equation in slope-intercept form? Or, how did you go form having the equation in point-slope form [above in #1] to slope- intercept form?). Do not draw graphs, I want you to complete this problem algebraically (Using numbers, variables, and/or symbols). Circle your answer. (4 points)

Answer 1

Answer:

y = 5.5x - 17

Step-by-step explanation:

(4,5)(2,-6)

• M = ∆y/∆x
• -6-5/2-4
• -11/-2 this is the gradient
• chose any of the point then introduce another point
• (4,5) (x,y) the gradient is -11/-2
• M =∆y/∆x
• y-5/x-4 = -11/-2
• -2(y-5) = -11 ( x -4)
• -2Y + 10 = -11x + 44
• -2Y = -11x + 44 -10
• -2Y = -11x + 34
• divide the while equation by -2
• y = 5.5x + - 17
• y= 5.5x - 17