Guide :High School

Find the slope and y intercept of this equation y=(2-a)x+a

Find the slope and y intercept of this equation y=(2-a)x+a
Find the equation of the straight line that has slope m = 4 and passes through the point (–1, –6).Okay, they've given me the value of the slope; in this case, m = 4. Also, in giving me a point on the line, they have given me an x-value and a y-value for this line: x = –1 and y = –6.In the slope-intercept form of a straight line, I have y, m, x, and b. So the only thing I don't have so far is a value for is b (which gives me the y-intercept). Then all I need to do is plug in what they gave me for the slope and the x and y from this particular point, and then solve for b:y = mx + b(–6) = (4)(–1) + b–6 = –4 + b–2 = bThen the line equation must be "y = 4x – 2".What if they don't give you the slope?Find the equation of the line that passes through the points (–2, 4) and (1, 2).Well, if I have two points on a straight line, I can always find the slope; that's what the slope formula is for.Now I have the slope and two points. I know I can find the equation (by solving first for "b") if I have a point and the slope. So I need to pick one of the points (it doesn't matter which one), and use it to solve for b. Using the point (–2, 4), I get: ADVERTISEMENT y = mx + b4 = (– 2/3)(–2) + b4 = 4/3 + b4 – 4/3 = b12/3 – 4/3 = bb = 8/3...so  y = ( – 2/3 ) x + 8/3.On the other hand, if I use the point (1, 2), I get:y = mx + b2 = (– 2/3)(1) + b2 = – 2/3 + b2 + 2/3 = b6/3 + 2/3 = bb = 8/3So it doesn't matter which point I choose. Either way, the answer is the same:y = (– 2/3)x + 8/3 ...

Research, Knowledge and Information :


Straight-Line Equations: Slope-Intercept Form | Purplemath


Straight-Line Equations: Slope-Intercept Form. ... I think the most useful form of straight-line equations is the "slope-intercept" form: Affiliate.
Read More At : www.purplemath.com...

Using an equation to solve the x and y intercept - Virtual Nerd


We would like to show you a description here but the site won’t allow us.
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3 Ways to Find the Y Intercept - wikiHow


There are several ways to find the y-intercept of an equation, depending on the starting information you have. ... Example 1 (cont.): y = mx + b m = slope = 2 y = 2x ...
Read More At : www.wikihow.com...

Slope Intercept Form - Mathwarehouse.com


Equation of a line in slope intercept form, as well as how to find equation given slope and one point. ... Slope Intercept Equation of Vertical and Horizontal lines
Read More At : www.mathwarehouse.com...

Graphing Equations and Inequalities - Slope and y-intercept ...


Knowing how to find the slope and the y-intercept helps us to graph a line when we know its equation, and ... Let's substitute x = 2 and y = 3 into the equation.
Read More At : www.math.com...

x- and y-Intercepts - Purplemath


Explains how to find and recognize x- and y-intercepts, ... a y-intercept is a point in the equation where the x-value is zero. Find the x- and y-intercepts of 25x 2 ...
Read More At : www.purplemath.com...

how can you write y-3=2(x-1) in slope-intercept form? (5140 ...


how can you write y-3=2(x-1) in slope-intercept ... is useful for finding the slope and y intercept of a ... slope intercept equation is as follows: (y 2 ...
Read More At : www.wyzant.com...

Finding The X-Intercept And The Y-Intercept Of An Equation ...


Feb 24, 2012 · This tutorial shows how to find the x-intercept and y-intercept of an equation by substituting zeroes ... Find x and y intercepts and slope (part 1).m4v ...

Algebra Examples | Linear Equations | Calculating Slope and Y ...


Algebra Examples. Step-by-Step Examples. Algebra. Linear Equations. Find the Slope and Y-Intercept. Use the slope-intercept form to find the slope and y-intercept.
Read More At : www.mathway.com...

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