y-y1=m(x-x1) this is the answer
Use point-slope formula
Point: (1, 4) Slope: -3 Equation: y = -3x+7
Point: (-6, -2) Slope: 5 Equation: y = 5x+28
If you mean a point of: (2,1) then the equation works out as y = 3x-5
y-1 = 3(x - 2)
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.
Y-y1=m(x-x1)
Point Slope Formula: y-y1 = m(x - x1)
yes the formula is y=mx+b
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.
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.
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).
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.
Use point-slope formula
The point-slope form of a line is given by the equation ( y - y_1 = m(x - x_1) ), where ( m ) is the slope and ( (x_1, y_1) ) is a point on the line. Given a slope of -3 and the point (10, -1), we can substitute these values into the formula: ( y - (-1) = -3(x - 10) ). This simplifies to ( y + 1 = -3(x - 10) ), or ( y + 1 = -3x + 30 ). Thus, the point-slope form is ( y + 1 = -3(x - 10) ).
The slope-intercept form is y = mx + b.The point-slope form is y - y1 = m(x - x1).The standard form is Ax + By = C. It is not unique for any line.
The slope of a line and the coordinates of a point on the line.The slope of a line and the coordinates of a point on the line.The slope of a line and the coordinates of a point on the line.The slope of a line and the coordinates of a point on the line.