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-7/5 For equations in Standard Form (Ax + By = C), slope equals -A/B. Or you could put the equation in Slope-Intercept form (y = mx + b) by solving for y and then finding the slope (m).
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How to find slope if you are given the equation of a line in slope-intercept form:Slope intercept form is y = mx + b. m is the slope.For example, the slope of the line y = 3x + 7 is 3. (3 is m in the equation y = mx + b.) Another example, the slope of the line y = (-5/4)x - 4 is -5/4.If the line is in the form y = a number, then the slope is 0. For example, the slope of the line y = 3 is 0.If the line is int the form x = a number, then the slope is undefined. For example, the slope of the line x = 5 is undefined.How to find slope if you are given the equation of a line in point-slope form:Point slope form is y - y1 = m(x - x1). m is the slope.For example, the slope of the line y-6 = 2(x-7) is 2. Another example, the slope of the line y-5 = (3/2)(x+4) is 3/2.How to find the slope if you are given the equation of a line in standard form:Standard form is ax + by = c.One way to find the slope if a line in standard form is to convert it to slope-intercept form (y=mx+b).Here is an example using the line 3x + 8y = 283x + 8y = 28First move the x to the other side by subtracting 3x from each side:8y = 28 - 3xNext, divide each side by 8 (all three terms must be divided by 8):y = 28/8 - (3/8)xAfter simplifying the fractions, the formula is y = 7/2 - (3/8)xSlope-intercept form is y = mx + b, so the terms on the left side of the equation need to be rearranged for it to truly be in slope-intercept form:y = -(3/8)x + 7/2Be sure to keep the negative signs in front of their terms! (if you have any negative sings, there will be times when you won't.)The equation of the line 3x + 8y = 28 in slope-intercept form isy = -(3/8)x + 7/2. The slope of this line is -3/8 (see How to find slope if you are given the equation of a line in slope-intercept form, above).Another, faster way is to use the formula -a/b. The slope of the line 3x + 8y = 28 is -3/8. (Remember, this only works for standard form (ax + by = c).)
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
The slope is -1/2.
y - 3x = 8 standard form is y = mx + b m = slope y = 3x + 8 in this form slope m is 3 The perpendicular line slope is the negative inverse of m -1/m = -1/3
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Standard Form or Slope Intercept Form is the equation for a straight line presented in the format y = mx + c. 8y + 4 = -3x 8y = -3x - 4 y = -3/8.x - 4/8 y = -3/8.x - 1/2.........and this is the equation in standard form.
-7/5 For equations in Standard Form (Ax + By = C), slope equals -A/B. Or you could put the equation in Slope-Intercept form (y = mx + b) by solving for y and then finding the slope (m).
y = 6x+8 is already in slope intercept form
First rewrite the equation in the "standard" form: 3y = 5x + 8 so that y = 5/3*x + 8/3 Then the slope is the coefficient of x, ie 5/3 or 1.66...
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The slope intercept form is y=mx+b where m is the slope and b is the y intercept y=2x-8.
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How to find slope if you are given the equation of a line in slope-intercept form:Slope intercept form is y = mx + b. m is the slope.For example, the slope of the line y = 3x + 7 is 3. (3 is m in the equation y = mx + b.) Another example, the slope of the line y = (-5/4)x - 4 is -5/4.If the line is in the form y = a number, then the slope is 0. For example, the slope of the line y = 3 is 0.If the line is int the form x = a number, then the slope is undefined. For example, the slope of the line x = 5 is undefined.How to find slope if you are given the equation of a line in point-slope form:Point slope form is y - y1 = m(x - x1). m is the slope.For example, the slope of the line y-6 = 2(x-7) is 2. Another example, the slope of the line y-5 = (3/2)(x+4) is 3/2.How to find the slope if you are given the equation of a line in standard form:Standard form is ax + by = c.One way to find the slope if a line in standard form is to convert it to slope-intercept form (y=mx+b).Here is an example using the line 3x + 8y = 283x + 8y = 28First move the x to the other side by subtracting 3x from each side:8y = 28 - 3xNext, divide each side by 8 (all three terms must be divided by 8):y = 28/8 - (3/8)xAfter simplifying the fractions, the formula is y = 7/2 - (3/8)xSlope-intercept form is y = mx + b, so the terms on the left side of the equation need to be rearranged for it to truly be in slope-intercept form:y = -(3/8)x + 7/2Be sure to keep the negative signs in front of their terms! (if you have any negative sings, there will be times when you won't.)The equation of the line 3x + 8y = 28 in slope-intercept form isy = -(3/8)x + 7/2. The slope of this line is -3/8 (see How to find slope if you are given the equation of a line in slope-intercept form, above).Another, faster way is to use the formula -a/b. The slope of the line 3x + 8y = 28 is -3/8. (Remember, this only works for standard form (ax + by = c).)