Similarities between linear and quadratic equations
Answers
Answer:
linear equation are :
Linear equations in standard form (Ax + By + C = 0) are easy to convert to convert to slope intercept form (y = mx +b), and in this form, you can immediately identify the slope of the line, which is m, and the point at which the line crosses the y-axis. You can graph the equation easily, because all you need are two points. For example, suppose you have the linear equation y = 12_x_ + 5. Choose two values for x, say 1 and 4, and you immediately get the values 17 and 53 for y. Plot the two points (1, 17) and (4, 53), draw a line through them, and you're done.
quadratic equation are :
You can find the the x-intercepts of the parabola by solving the equation for y = 0 :
ax2 + bx + c = 0
and using the quadratic formula
x = [ −b ± √(b2 − 4_ac_)] ÷ 2_a_
You can find the vertex of a quadratic equation in the form y = ax2 + bx + c by using a formula derived by completing the square to convert the equation into a different form. This formula is −b/2_a_. It gives you the x-value of the intercept, which you can plug into the equation to find the y-value.