3.32. Painfully easy.
Solve the standard form for the dependent variable, commonly 'y'.
because right away you can tell the slope and y-intercept
Slope intercept form is displayed as y=mx+b.
"Rate of change" is how much one variable changes when the other changes. In linear equations this is know as "slope" (since slope equals the change in Y relative to the change in X). Next remember that any linear equation can be written in the form: y = mx + b, where m = slope and b = y-intercept (place where line crosses the y-axis). Therefore to figure out rate of change (or slope) of a linear equation simply rewrite the equation in the y = mx + b form. In your case, the equation is already written that way. y = 1.5x (note that in this case b = 0) So in this formula m = 1.5. The rate of change is equal to 1.5. Another way this could be said is that when x increases by one unit, y will increase by 1.5 units. Plugging in any set of numbers will show this is true: If X = 1; Y = 1.5 If X = 2; Y = 3 (X increases by 1; Y increases by 1.5) If X = 3; Y = 4.5 (Again X increase by 1; Y increase by 1.5) ...
y=mx+b, because m stands for the slope and b is the y-intercept
In slope intercept form, m IS the slope. y = mx + b slope is change in height divided by change in x direction.
Point slope form is standard form. To change point slope form into general form, simply multiply both sides by the denominator of the slope, and move everything onto one side.
ax+by=c --- standard form and slope intercept form is y=mx+b,, so for example: 8x+4y=16 ----this in its standard form so if we change it to slope intercept form, we transpose 8x beside 16.. there fore, the result is 4y=-8x+16. .however.. in slope intercept form,, the variable y should not have any coeffiecient.. so we should dived 4y, -8x and 16 by 4,, therefore the result is y=-2x+4.. so the slope intercept form of 8x+4y=16 is y=-2x+4
Yes.
y=mx+b. Standard form is Ax+By=C. To get to standard form from slope intercept, Move slope times x over to the y side and change the positive or negative sign.
This is stupid! Why do you even need m help?!
The standard form equation of a line is y=mx+b. M represents the slope; slope is the change in x over the change in y. B represents the y-intercept.
Point slope form is standard form. To change point slope form into general form, simply multiply both sides by the denominator of the slope, and move everything onto one side. e.g: y = (1/4)x + 2 Multiply both sides by 4: 4y = x + 8 Move everything onto one side: 4y - x - 8 = 0
Solve the standard form for the dependent variable, commonly 'y'.
y=mx +b is the equation for slope intercept form. y = the output of the equation m = the slope x = the input into the formula b = the y-intercept The slope represents the rate of change. This is because for every input, or x, you put into the equation, is changed by m. So the M portion of this equation would be the rate of change.
Just leave the constant at one side and the terms with variables at the other side.
The point slope form of a line is one that contains the point and the slope. It is (y-y1)=m(x-x1) Where (x1,y1) are the point on the line that you are given. The other (x,y) are any x and y and m is the slope. So if we have a point (1,2) just for example, and a slope m=3, then the point slope equation or form is (y-2)=3(x-1) Note: The point slope form is easy to remember. It comes directly from the definition of slope. The slope is the rise over the run, of (change in y values) divided (change in x values) Now call the slope m, and let a point we know be (x1,y1) and any other point on the line (x,y), then the slope is m=(y-y1)/(x-x1). Now multiply both sides by (x-x1) and you have the point slope form.