The second
the line crosses at positive 5, (the point is (0,5)) because that is what the y-intercept is on your equation. the equation y=3x+5 is in slope intercept form. that means its in the form y=mx+b, where m=the slope, and b=the y-intercept. in this case, b is positive 5.
A linear equation is the equation of a line and that consists of an infnite number of points. What you have, in x = -4 and y = -1/3, is a single point. A single point is not a line and so there cannot be a linear equation (suitable for a line) to represent a point.
As for example in the equation: y = 2x+5 the slope is 2 and the y intercept is 5
To check this, you substitute the values for x and y into the equation. At (1,2) x equals 1 and y equals 2 so substituting this in we get: x + 2y = 1 + 2(2) = 1 + 4 = 5 And since it equals 5 like in the original equation the point is represented by it.
It's the equation of a straight line with a slope of -3, that crosses the y-axis at y= -1 . Every point on the line is a solution to the equation. There are an infinite number of them.
11
The y-intercept of a linear equation is the point where the graph of the line represented by that equation crosses the y-axis.
Which of the following is the point-slope equation of the line with a slope equals -4 and a point of -2 3?
It is called the x-intersect.
The highest point on a graph is when the derivative of the graph equals 0 or the slope is constant.
The point is called the y-intercept and it is the point where x = 0. If the equation of the line is given in the standard form, y = mx+c, then the line crosses the y-axis at (0,c).
the line crosses at positive 5, (the point is (0,5)) because that is what the y-intercept is on your equation. the equation y=3x+5 is in slope intercept form. that means its in the form y=mx+b, where m=the slope, and b=the y-intercept. in this case, b is positive 5.
Yes. 6y = 18x can be cancelled down to y = 3x. If drawn on a graph, the gradient of the straight line at any given point would be 3. The line also crosses the point (0, 0) [the origin]
A linear equation is the equation of a line and that consists of an infnite number of points. What you have, in x = -4 and y = -1/3, is a single point. A single point is not a line and so there cannot be a linear equation (suitable for a line) to represent a point.
Yes - It's the point on the y-axis that the equation passes through
2X + 4Y = 8 The Y-intercept is the place where the line described by the equation crosses the Y-axis. But X=0 everywhere on the Y-axis. So at that point, 4Y = 8, and Y = 2. The X-intercept is the place where the line described by the equation crosses the X-axis. But Y=0 everywhere on the X-axis. So at that point, 2X = 8, and X = 4.
Do you mean 0.4y+0.6y = 3y -36? If so then: y = 18