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Slope intercept form would be: y = mx + b So, you already know m=-3 so you have to figure out b. So we will substitute (1,1) for (x,y) and solve for b. 1 = (-3) (1) + b 1 = -3 + b 4 = b So, now you can write: y=-3x +4

Q: Write the equation in slope intercept form of the line that has a slope of -3 and contains the point 1 1 and how does one work out the proble in simple steps?

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Two points. An intercept and an angle. Answer: When the equation of the line has x as a simple multiple of y, the line is straight (e.g x=m+by)

y=x-1 is a simple linear line variation of y=x. With the inclusion of a constant 1, the y intercept (when x is 0) is shifted from 0 to -1. The slope is 1, and the y intercept is -1.

The gradient of a linear equation is also known as slope. Slope is the (Change in Y)/(Change in X). Luckily there is a simple way to find out the slope in a simple linear equation. A simple linear equation can be written as: y = mx + b where m = slope (gradient) and b = y-intercept I assume your equation is x = 2y + 1. This may look like it fits the equation above but it does not. The equation needs to be solved for y. x = 2y + 1 (Subtract 1 from both sides) x - 1 = 2y (Divide both sides by 2) x/2 - 1/2 = y Now the equation is in the proper form. y = 1/2x - 1/2 Looking at the first equation: m = slope = 1/2. The slope (or gradient) is 1/2

There are two eqivalent versions: y = mx + c This is called the slope-intercept form. When the graph of the equation is plotted, the line has a slope = m and y-intercept = c. ax + by + k = 0 This is the standard form and can be generalised to three (or more) dimensions by the simple addition of the term cz (and dw etc) to the left hand side.

you find the hard equation and simplify it....

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The equation of line can be easily made if the slope and y-intercept are known, in the form of y equals mx plus b, where m is the slope and b is the y-intercept. The quadratic equation may need to be utilized if the previous equation cannot be used.

There is one simple way to find the answer to this. The x-intercept occurs when y = 0 as this is the equation of the x-axis. Along the x-axis, the value of the y is always zero. There fore you can take the value y = 0, substitute into the equation and then solve for x. e.g. 5x - 4 x 0 = 18 5x = 18 x = 3.6 Hence the x-intercept is when y = 0 and x = 3.6 This method also translates to how to find the y-intercept. The only difference is that you substitute x = 0 into the equation.

Two points. An intercept and an angle. Answer: When the equation of the line has x as a simple multiple of y, the line is straight (e.g x=m+by)

the equation for a line is y=mx+b where x and y are any point on a line, m is the slope, and b is the y-intercept. this equation is usually seen with numbers plugged into m and b, and y and x are left as is. if you want to find the y-intercept of a equation and you have a point and a slope, than you wouldn't want to use this equation. you would want to use a similar one. so lets make it with some simple algebra. y=mx+b subtract mx from both sides y-mx=mx-mx+b simplify y-mx=b now you have a simple formula. take the slope of the line, multiply it by the y value, and subtract that from the x value, and you will get the y-intercept.

y=x-1 is a simple linear line variation of y=x. With the inclusion of a constant 1, the y intercept (when x is 0) is shifted from 0 to -1. The slope is 1, and the y intercept is -1.

Yes as for example x = 5 which is a straight vertical line parallel to the y axis

There are at least two algebraic ways. The simple way is to put x = 0 and solve: Thus: -6*0 -9y = -3 that is -9y = -3 or 9y = 3 so that y = 1/3 Rewrite the equation in slope-intercept form (y = mx + c). Thus: -9y = 6x - 3 So that y = -2/3*x + 1/3 and so c = intercept 1/3 The non-algebraic way is to draw the graph and read off the value of the intercept.

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The gradient of a linear equation is also known as slope. Slope is the (Change in Y)/(Change in X). Luckily there is a simple way to find out the slope in a simple linear equation. A simple linear equation can be written as: y = mx + b where m = slope (gradient) and b = y-intercept I assume your equation is x = 2y + 1. This may look like it fits the equation above but it does not. The equation needs to be solved for y. x = 2y + 1 (Subtract 1 from both sides) x - 1 = 2y (Divide both sides by 2) x/2 - 1/2 = y Now the equation is in the proper form. y = 1/2x - 1/2 Looking at the first equation: m = slope = 1/2. The slope (or gradient) is 1/2

you find the hard equation and simplify it....

There are two eqivalent versions: y = mx + c This is called the slope-intercept form. When the graph of the equation is plotted, the line has a slope = m and y-intercept = c. ax + by + k = 0 This is the standard form and can be generalised to three (or more) dimensions by the simple addition of the term cz (and dw etc) to the left hand side.