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What is the point-slope equation of a line with slope -3 that contains the point (-8 -4)?
If the slope is -3 and the point is (-8, -4) then (y - -4) = -3(x - - 8) => y = -3x -28
What is the equation of the tangent line that meets the circle x2 -4x plus y2 -6y equals 4 at the point 6 4?
Circle equation: x^2 -4x +y^2 -6y = 4 Completing the squares: (x-2)^2 +(y-3)^2 = 17 Point of contact: (6, 4) Center of circle: (2, 3) Slope of radius: 1/4 Slope of tangent line: -4 Tangent equation: y-4 = -4(x-6) => y = -4x+28 Tangent line equation in its general form: 4x+y-28 = 0
What is the straight line equation passing through points 4 and 0 when it is perpendicular to x plus 7y plus 4 equals 0?
x+7y+4 = 0 => y = -1/7x-4/7 The slope of the second equation is the reciprocal of the first equation with the minus sign changing to a plus sign. y = mx+c where m is the slope and c is the intercept on the y axis So: 7*4+c = 0 28+c = 0 c = -28 Therefore the perpendicular equation is: y = 7x-28 which can be expressed in the form of 7x-y-28 = 0
If AB equals 21 centimeters and BC equals 28 centimeters what does AC equal?
12
What is the radius of 28 cm?
It is the name given to the straight line from the centre of a circle to its circumference when that distance is 28 cm.
What is the slope of -y equals x-28?
Slope = -1
What is the slope of the line y equals 7x-21?
28
What is the slope of the line 14y-2x equals 28?
14y - 2x = 28 ie 7y - x = 14 ie 7y = x + 14 or y = (1/7)x + 14 The slope is the coefficient of x, or 1/7
What is the graph of -4x plus 7y equals -28?
-4x=7y-28 -4x+28=7y -4x/7+4=y A line with a y-int of 4 and a slope of -4/7
Find the point on the line y equals 4x plus 7 that is closest to the origin?
(28/17,7/17) The point on the line closest to the origin is the point on a line through the origin that is perpendicular to the given line. Because the slope of the perpendicular is the negative reciprocal of the given line, it has a slope of -1/4 and is given by the equation: y=(-1/4)x The x-coordinate of the point of intersection is found by solving the following: (-1/4)x=4x+7 -x=16x+28 -17x=28 x=-28/17 y=(-1/4)(-28/17)=7/17
What is the slope of 4x-7y-28 equals 0?
If: 4x-7y-28 = 0 then y = 4/7x-4 whereas 4/7 is the slope and -4 is the y intercept
Find the slope of the equation 8x plus 7y equals 28?
y=-(8/7)x+4 Therefore, the slope= -(8/7)
Find the slope of the line 4x plus 7y equals 28?
In the equation: y = mx + c m is the gradient (or slope) and c is the point at which the line crosses the y-axis. Therefore, we are looking to determine m. Your equation is: 4x + 7y = 28 Let's rearrange this as follows: 7y = -4x + 28 Now divide by 7 throughout: y = (-4/7)x + 4 Therefore, m = -4/7, or -0.5714
What is the point-slope equation of a line with slope -4 that contains the point (-27)?
If the slope is -3 and the point is (-8, -4) then (y - -4) = -3(x - - 8) => y = -3x -28
What is the point-slope equation of a line with slope -4 that contains the point (-2 7)?
If the slope is -3 and the point is (-8, -4) then (y - -4) = -3(x - - 8) => y = -3x -28
What is the point-slope equation of a line with slope -3 that contains the point (-8 -4)?
If the slope is -3 and the point is (-8, -4) then (y - -4) = -3(x - - 8) => y = -3x -28
How do you find the slope of an equation?
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).)
