-1.83 . . . . . and . . . . . -1.82
The real solutions are the points at which the graph of the function crosses the x-axis. If the graph never crosses the x-axis, then the solutions are imaginary.
The intercept of a graph is the point where is crosses one of the coordinate axes. The x intercept is where it crosses the x axis, the y intercept where it crosses the y axis. If the graph is given as y equals a function of x, it is usually easier to find the y intercept, because that is where x is 0. You just plug in 0 for x and evaluate. To find the x intercept, you plug in 0 for y and then you have to solve an equation for x. This is fairly easy if it is a linear equation (the graph is a straight line), somewhat harder for a quadratic (a parabola). But anyway you only asked for a definition, and I have given it.
2x - 3y = 2The graph of this equation is a straight line, which crosses the y-axis where [ y = -2/3 ]and has a slope of 2/3 .x + 2y = 8The graph of this one is also a straight line, which crosses the y-axis where [ y = 4 ]and has a slope of -1/2 .
The equation 0 equals 0 is an identity and contributes absolutely nothing to the part of the graph that you should shade or not. The tautological statement can be ignored.
Same way you graph y = -4x - 0.5
7
They are all the points where the graph crosses (or touches) the x-axis.
The real solutions are the points at which the graph of the function crosses the x-axis. If the graph never crosses the x-axis, then the solutions are imaginary.
35
y = 3x + 1 is a linear equation - it is the equation for a graph of a straight line that crosses the y axis at 1 and the x axis at -1/3, and has a gradient (slope) of 3.
The y-intercept of a linear equation is the point where the graph of the line represented by that equation crosses the y-axis.
At -7.
You get a straight line (parallel to the x-axis) that passes through only the y-axis, and it crosses the y-axis at (0,3)
The equation 2x - 3y = 6 is a linear equation and a linear equation is always has a straight line as a graph
Let's say you have the quadratic equation x2 - 7x + 12 = 0. Plot the graph of y = x2 - 7x + 12. Where y = 0 (when the graph crosses the x-axis) is a solution to the equation. In this case, it crosses at the points (3,0) & (4,0) so the solutions are x = 3 and x = 4. Now if the graph never touches the x-axis, that means the solutions to the equation are complex numbers.
The intercept of a graph is the point where is crosses one of the coordinate axes. The x intercept is where it crosses the x axis, the y intercept where it crosses the y axis. If the graph is given as y equals a function of x, it is usually easier to find the y intercept, because that is where x is 0. You just plug in 0 for x and evaluate. To find the x intercept, you plug in 0 for y and then you have to solve an equation for x. This is fairly easy if it is a linear equation (the graph is a straight line), somewhat harder for a quadratic (a parabola). But anyway you only asked for a definition, and I have given it.
2x - 3y = 2The graph of this equation is a straight line, which crosses the y-axis where [ y = -2/3 ]and has a slope of 2/3 .x + 2y = 8The graph of this one is also a straight line, which crosses the y-axis where [ y = 4 ]and has a slope of -1/2 .