2 discussion posts follow-up. Here’s the 1st one:As you have shown above Ax + By = C can be converted into y = mx + b format.Keep ‘By’ on the left hand side of the equation and move ‘Ax’ to the right side, we get,By = – Ax + CDivide both side of equation by B,By/B = -Ax/B + C/By = (-A/B)x + (C/B)Slope (m) = -A/B and y-intercept (b) = C/BSimilarly, we can convert -4x = -2y – 8 to y = mx + b form.2y = 4x – 82y/2 = 4x/2 – 8/2y = 2x – 4Slope (m) = 2 and b = -4We can get two points to plot a graph, when x = 0, y = -4 and when y = 0, x = 2We can also plot a graph using slope (m = 2) and y-intercept (b = -4)Lets start with y-intercept point, b = -4 (this will be our first point)since our slope, m = 2 or 2/1, go up 2 units from y-intercept (on y-axis), -4+2 = -2, and go right 1 unit (x-axis)So our coordinates will be (0, -4) and (1,-2)Verify the points on the equation: y = 2x – 4(0, -4),- 4 = 2(0) – 4-4 = -4 OK. (1,-2)-2 = 2(1) – 4-2 = 2 – 4-2 = -2 OK.2nd:Professor and Class,The linear equation I am discussing is y=3x-5. To set the x-intercept, y = 0y=3x-50=3x-55=3×5/3=x(5/3, 0) is the x interceptto set the y intercept, x=0y=3x-5y=3(0)-5y=-5(0,-5) is the y interceptas shown in below graph:or rise/runm=−5−0/2−1m=−5−0/2−1m=-5the slope is undefined.ReferencesOpenStax College. (2015). College Algebra. Houston, TX: OpenStax CNX. Retrieved from https://openstax.org/details/books/college-algebrLinks to an external site.https://www.teacherspayteachers.com/Product/Drawing-Algebraic-Straight-line-Graphs-171852 (Links to an external site.)Links to an external site.https://www.mathwarehouse.com/algebra/linear_equation/slope-of-a-line.php (Links to an external site.)Links to an external site.
