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A linear equation represents a straight line on a coordinate plane. It can be written in the form: y = mx + b where m is the slope of the line and b is the y-intercept.
Graph the line using the slope and the y-intercept, or the points. Slope: −3 - 3. y-intercept: (0,7) (0, 7) x y 0 7 1 4 x y 0 7 1 4. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.
The equation y = 7 - 3x is a linear equation. An equation that has a leading power of 1 is a linear equation. For example, the standard equation of a straight line (y = mx + b) is a linear equation. Writing the given expression y = 7 - 3x in standard form. This is expressed as:
An equation is considered "non-linear" is when it is not graphed using straight lines. Some examples include y=3x^2+1, y=2x^3-3, y=x^5+43. See what they have in common?
Examples. \left. \begin {cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end {cases} \right. Solve your math problems using our free math solver with step-by-step solutions. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more.
it's a linear equation, which means the graph is a straight line. 2 points is all you need to graph a straight line. Plot the 2 points and draw the line thru them. You can find any 2 points, but one way is to set x = 0 and find y, then y=0 and find x. y=7-3x. @x = 0: y - 7 --> (0,7) point #1.
A linear equation is an equation for a straight line. These are all linear equations: Let us look more closely at one example: Example: y = 2x + 1 is a linear equation: The graph of y = 2x+1 is a straight line. When x increases, y increases twice as fast, so we need 2x. When x is 0, y is already 1. So +1 is also needed. And so: y = 2x + 1.
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x tells us how far along. m is the Slope or Gradient i.e. how steep the line is. b is the Y-intercept i.e. where the line crosses the Y axis. The X and Y intercepts and the Slope are called the line properties. We shall now graph the line y+3x-7 = 0 and calculate its properties.