An equation that forms a straight line on a graph.
More precisely, a linear equation is one that is dependent only on constants and a variable raised to the first power. For example, y=6x+2 is linear because it has no squares, cubes, square roots, sines, etc. Linear equations can always be manipulated to take this form:
ax+b=0
You won't always see linear equations written exactly like that, but keep in mind that we can manipulate equations to put them in a particular form if necessary.
Linear equations are often written with more than one variable, typically x and y. Such equations will have many possible combinations of x and y that work. When those points (known as coordinate pairs) are plotted on an x-y axis, they will form a straight line. Let's take a look at this graphically below. The two equations drawn are linear. Note that one is in the form y=3 (it is dependent on just a constant, 3), and the other equation is y=0.75x−0.5 (a linear term and a constant).
77.20 i think i did it in my head and with a caluclator
=(y2-3y-5)-(-y2-7y+4)
=y2-3y-5+y2+7y-4
=2y2+4y-9
Hope this helps! :)
Answer:
6
Step-by-step explanation:
The Correct option is ~ B
Let's find the slope (m) using points (2 , 1) and (0 , -3)
hence, slope = 2
now, by Observing the given graph we can infer that the given line cuts the y - axis at point (0 , -3), so value of y - intercept (c) = - 3
[ y - coordinate of a point when x - coordinate is equal to 0 is the value of y - intercept of a line ]
And, we know the general equation of line in slope - intercept form is ~
now, let's plug the value of slope (m) and y - intercept (c) in the general equation to find the equation of line in slope intercept form ~
