2017年2月4日 · See below for a couple of suggestions: We can do this a couple of different ways. Slope intercept form We can rewrite y=x into the general form of a slope-intercept equation y=mx+b, with m=1, b=0: y=1x+0 This gives us the y-intercept of 0 (and so we have the point (0,0)) and slope of 1 - which means that for every point we move to the right, we move 1 up ("slope" …

2018年3月23日 · See explanation Consider y=x The count of x's is 1 so although it is not normally shown we actually have y=+1x This number 1 is the slope (gradient) which is the amount of up or down for 1 along reading left to right on the x-axis. As the vertical position increases (positive direction) the slope is upwards Consider y=-x -> y=-1x In this case the the vertical position …

2016年3月9日 · The equation #y=-x# can be written in slope intercept form as #y=-1/1x+0# making the y intercept at #(0,0)# and the slope #-1/1# Begin by graphing the y intercept at the origin (0,0) and then use the slope down 1 for -1 and over 1 to map the remaining points.

2016年3月7日 · The equation #y=x# is saying: whatever value you decide to give to #x# will also end up being the same value for #y# Notice that the graph goes upwards as you move from left to right This is called a positive slope (gradient) If it had been #y=-x# then the slope would go down as you move from left to right. '~~~~~

Question 822202: What is the equation of the line described below written in slope-intercept form? the line passing through point (0, 0) and parallel to the line whose equation is 3x + 2y - 6 = 0

2015年3月5日 · You can use logarithmic differentiation Take the natural logarithm of both sides lny=lnx^x Now using properties of logarithms, rewrite the right hand side lny=xlnx Differentiate both sides with respect to x Use the product rule on the right side 1/ydy/dx=lnx+x1/x 1/ydy/dx=lnx+1 Multiply both sides by y dy/dx=y(lnx+1) Now y=x^x so we can write …

2014年8月31日 · This is one of the favorite function to take the derivatives of. y'=e^x If you wish to find this derivative by the limit definition, then here is how we find it. First, we have to know the following property of e: lim_{h to 0}{e^h-1}/{h}=1. (Note: This means that the slope of y=e^x at x=0 is 1.) By the limit definition of the derivative, we have y'=lim_{h to 0}{e^{x+h}-e^x}/h =lim_{h to …

Algebra: Linear Equations, Graphs, Slope Section. Solvers Solvers. Lessons Lessons

2018年3月11日 · Given: Cartesian form #color(blue)(y = f(x) = x^2#. We must convert this into equivalent polar form.. To convert to polar form use

2015年7月7日 · This is known as a difference of squares. It can be factored as: x^2 - y^2 = (x-y)(x+y) Notice that when you multiply (x-y) by (x+y) then the terms in xy cancel out, leaving x^2-y^2 ... (x-y)(x+y) = x^2+xy-yx-y^2 = x^2+xy-xy-y^2 = x^2-y^2 In general, if you spot something in the form a^2-b^2 then it can be factored as (a-b)(a+b) For example: 9x^2-16y^2 = (3x)^2 …