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What is the difference between a linear function and a quadratic equation?
A linear equation describes a line like 2x+1=y. If you were to graph that equation, then it would give you a line. A quadratic equation is like x^2+2x+1=y. Graphing this equation would give you a U shaped graph called a parabola.
What is the slope equation?
To get the slope, you would have to do Y2-Y1 _____ X2-X1 or Rise ------ Run If you had two pairs of coordinates from a graph, the coordinates would be (X1, Y1) and (X2, Y2) For example, if you had the coordinate pairs (1,2) and (3,4) Your X1 would be 1, and your Y1 would be 2. So when you follow the equation Y2-Y1 _____ X2-X1 you would get 4-2 ----- 3-1 When you simplify, you would get 2/2 or 1. So your slope would be 1. Also, if you have an equation in Slope-Intercept Form, y=mx+b, your slope would be m. For example, if you had the equation y=3x+2, your slope would be 3.
What is the slope of a line containing the points 2 4 and 4 5?
The slope of a line containing two points (x1, y1) and (x2, y2) is given by:Slope = m = (y2 - y1)/(x2 - x1).So, we have these two points as (x1, y1) = (2, 4) and (x2, y2) = (4, 5).Let's find the slope m:m = (5 - 4)/(4 - 2) = 1/2.Since m > 0, then the line rises from left to right. The equation of the line is:(y - y1) = m(x - x1) This is the point slope form of a linear equation, let's use the first point:(y - 4) = (1/2)(x - 2)y - 4 = (1/2)x - 1y = (1/2)x + 3 This is the slope-intercept form of a linear equation, y = mx + bThe general form of a linear equation is Ax + By + C = 0;y = (1/2)x + 3(1/2)x -y + 3 = 0
Can an equation be linear if there is an exponent?
yes it can if the exponent is 1.
Which equation represents a graph with a vertex at (1,-6?
7
