y intercept is 4 so using y=mx + c, c=4. when x=0, y=4 and when y=0, x=-3. Therefore subbing these numbers into y=mx + c gives you an equation of y=(4/3)x + 4. Hope that helps :)
A linear equation is a specific type of function that represents a straight line on a graph. While all linear equations are functions, not all functions are linear equations. Functions can take many forms, including non-linear ones that do not result in a straight line on a graph. Linear equations, on the other hand, follow a specific form (y = mx + b) where the x variable has a coefficient and the equation represents a straight line.
y=mx+b is the equation of a line in the plane in slope intercept form. The m is the slope and the b is the y intercept. There are many other forms of equations of lines.
Quadratic, simultaneous and straight line equations
its a system of equations, with no solution
Linear equations (sometimes called Linear Functions) are done using the general form y = mx + b y represents your y-axis value at a certain point m represents the slope of your line (how steep or how gentle it is) x represents the x-axis value at the same point as y b represents the y-axis intercept (where your line crosses the y-axis Given the example y=3x + 1: the m (slope) in this case is 3 the b (y-intercept) is +1 x and y will change for each point on this line. Since our 'b' is 1, we know that the point (0,1) is on our line. So, it can be said that 1 = 3(0) + 1 instead of y = mx + b Working this out, we have 1=1 (which is true).
The equations will have the same slope as y = 5x+9 but a different y intercept
A linear equation represents a line. A linear inequality represents part of the space on one side (or the other) of the line defined by the corresponding equation.
A linear equation is a specific type of function that represents a straight line on a graph. While all linear equations are functions, not all functions are linear equations. Functions can take many forms, including non-linear ones that do not result in a straight line on a graph. Linear equations, on the other hand, follow a specific form (y = mx + b) where the x variable has a coefficient and the equation represents a straight line.
Equations with the same solution are called dependent equations, which are equations that represent the same line; therefore every point on the line of a dependent equation represents a solution. Since there is an infinite number of points on a line, there is an infinite number of simultaneous solutions. For example, 2x + y = 8 4x + 2y = 16 These equations are dependent. Since they represent the same line, all points that satisfy either of the equations are solutions of the system. A system of linear equations is consistent if there is only one solution for the system. A system of linear equations is inconsistent if it does not have any solutions.
Without the inclusion of an equality sign and not knowing the plus or minus values of the given terms it can't be considered to be a straight line equation
Assuming the graph is linear, all equations will follow the formula y = mx + c, where "mx" represents the gradient of the line; "c" is the y-intercept i.e. where the graph crosses the y-axis.
y=mx+b is the equation of a line in the plane in slope intercept form. The m is the slope and the b is the y intercept. There are many other forms of equations of lines.
You can write it either in standard form (ax + by = c) or in slope-intercept form (y = mx + b)
If the equations of the system are dependent equations, which represent the same line; therefore, every point on the line of a dependent equation represents a solution. Since there are an infinite number of points on a line, there is an infinite number of simultaneous solutions. For example, 3x + 2y = 8 6x + 4y = 16
Quadratic, simultaneous and straight line equations
its a system of equations, with no solution
Linear equations (sometimes called Linear Functions) are done using the general form y = mx + b y represents your y-axis value at a certain point m represents the slope of your line (how steep or how gentle it is) x represents the x-axis value at the same point as y b represents the y-axis intercept (where your line crosses the y-axis Given the example y=3x + 1: the m (slope) in this case is 3 the b (y-intercept) is +1 x and y will change for each point on this line. Since our 'b' is 1, we know that the point (0,1) is on our line. So, it can be said that 1 = 3(0) + 1 instead of y = mx + b Working this out, we have 1=1 (which is true).