Linear Equations and Parabolas

Question

Graph y=mx+b and y=x^2

Answer 1

I give an explanation of y=mx+b, y=x^2

Y=mx+b is the slope intercept form for the equation of a straight line. An example is y=4x+3. This equation is graphed by drawing a straight line that a y intercept of 3 and slope of 4. For the y intercept the coordinates are (0,3). For the I write it as 4/1. I write this way so my mind can process it and it might help you as well. So I move the next point 4 units up and 1 unit across from coordinate (0,3) to get the graph. Another example of y=mx+b is y=6x+3. All of these examples are in slope intercept form and can be graphed.

As for the parabola, the graph will kinda look like a letter u opening upward. You can plug at least six values for x because the axis of symmetry is 0. So pick 3 values for x on the left side past the symmetry line. Then pick X values to right past the symmetry line and graph the coordinate to see what you get. It should like a parabola. For y=x^2, if the a<0 then the graph opens downward. For example, y=-×^2. In this case the a is -1. When a>0 the graph opens upward. For example, y=x^2. In this equation the a is 1. So when you draw the parabola it helps sometimes to draw a very light line vertically in the center so pick your x values on either side of it. Also, when see an equation in the form of y=mx+b, know it's a straight line.

Answer 2

y = mx + b is a slope-interecept form of an equation. It cannot be solved not graphed. Review you post for accuracy.