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How do you find an equation with a given slope?
Use point-slope formula
What is the point-slope form of the equation of a line that passes through the point (1 4) and has a slope of and minus3?
Point: (1, 4) Slope: -3 Equation: y = -3x+7
Given point (-6 -2) and a slope of 5 what is the equation in slope form?
Point: (-6, -2) Slope: 5 Equation: y = 5x+28
What is the point-slope form of a line with slope 3 that contains the point (21)?
If you mean a point of: (2,1) then the equation works out as y = 3x-5
What is the point-slope formula and how is it used?
Given a straight line with slope m and a point (p,q) on the line, the point-slope formula of the line is (y - q) = m(x - p) It is used to represent a straight line in the Cartesian plane. This allows techniques of algebra to be used in solving problems in geometry.
Which equation in point-slope form contains the point (4 1) and has slope 3?
To write the equation in point-slope form, use the formula (y - y_1 = m(x - x_1)), where ((x_1, y_1)) is the point and (m) is the slope. Substituting the point (4, 1) and the slope 3 into the formula gives us (y - 1 = 3(x - 4)). This is the point-slope form of the equation.
What is the difference between the point slope formula and the slope intercept form of a straight line?
The point-slope formula of a straight line is expressed as (y - y_1 = m(x - x_1)), where (m) is the slope and ((x_1, y_1)) is a specific point on the line. In contrast, the slope-intercept form is given by (y = mx + b), where (b) represents the y-intercept, the point where the line crosses the y-axis. Essentially, the point-slope form is used to write the equation of a line given a point and its slope, while the slope-intercept form is used to express the line in terms of its slope and y-intercept.
What is the formula for point slope form?
Y-y1=m(x-x1)
What is the point slope formula?
Point Slope Formula: y-y1 = m(x - x1)
The point-slope form of a line is y plus y1 m(x plus x1) where m is the slope and (x1 y1) is a point on the line?
The point-slope form of a line is typically written as ( y - y_1 = m(x - x_1) ), where ( m ) represents the slope of the line and ( (x_1, y_1) ) is a specific point on the line. This formula is useful for writing the equation of a line when you know the slope and one point. By rearranging the equation, it can be transformed into slope-intercept form or standard form if needed.
Is point slope form the same as equation of a line?
yes the formula is y=mx+b
What does point slope form mean in math?
Point-slope form is a way of writing the equation of a straight line using a specific point on the line and its slope. The general formula is ( y - y_1 = m(x - x_1) ), where ( m ) represents the slope and ( (x_1, y_1) ) is the known point on the line. This form is particularly useful for quickly writing the equation of a line when you have the slope and one point, making it easier to graph or analyze linear relationships.
Describe a situation in which point-slope form would be more useful than slope-intercept form?
You use point-slope form to find the equation of a line if you only have a point and a slope or if you are just given two point. Usually you will convert point-slope form to slope-intercept form to make it easier to use.
The point (2 -5) and has a slope of -7. What is the equation for this line in point-slope form?
The point-slope form of a linear equation is given by the formula ( y - y_1 = m(x - x_1) ), where ( m ) is the slope and ( (x_1, y_1) ) is a point on the line. For the point (2, -5) with a slope of -7, the equation becomes ( y - (-5) = -7(x - 2) ). Simplifying this, we get ( y + 5 = -7(x - 2) ). Therefore, the equation in point-slope form is ( y + 5 = -7(x - 2) ).
Linear equations in point slope form?
Point-slope form is written as: y-y1=m(x-x1), where (x1, y1) is a point on the line and m is the slope (hence the name, point-slope form).
How do you write point slope form in standard form?
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.
How do you find an equation with a given slope?
Use point-slope formula
