Write the point-slope form of an equation of a line with a slope of 3 that passes through the point (6,−1)(6,−1). Then rewrite it in the slope-intercept form. Solution Let’s figure out what we know from the given information. The slope is 3, so m = 3. We also k...
( ) 1 1 y y m x x − = − Point: Slope: (x 1 ,y 1 ) m Example 1 Algebraically find the equation of a line that passes through the point (1,-2) and has a slope of ½. ( ) 1 1 y y m x x − = − ( ) 1 2 2 1 y x + = − ( ) 1 2 1 1 y y...
Learn to define the point-slope form of a linear equation. Discover the point-slope formula and how to write the point-slope form of an equation...
Find the x- and y-intercept of 3x – 4y = 12 2. Graph the line y = -3 3. Write the equation in Standard Form: 2 3 4 x y Quick Review 1. What is the Slope-Intercept Form? y = mx + b 2. What is the Standard Form? Ax + By = C 3. How does an equation of a ...
(x, y) to represent any other point.Point-Slope Form of aLinear EquationSo far you have worked with linear equations in intercept form, y a bx.When you know a line’s slope and y-intercept, you can write its equation directly in intercept form. But what if you don’t know the y-...
The "point-slope" form of the equation of a straight line is:y − y1 = m(x − x1)The equation is useful when we know:one point on the line: (x1, y1) and the slope of the line: m,and want to find other points on the line.Have a play with it (move the point, try ...
Point-Slope Form Let's look at this mathematically. Let's use what's called point-slope form of an equation. This is going to relate time with my location. To use point-slope form, I need to know a point, such as my starting city, and the slope, such as my speed. For example,...
: the equation of a straight line in the form y − y1 = m(x − x1) where m is the slope of the line and (x1, y1) are the coordinates of a given point on the line compare slope-intercept form Word History First Known Use 1904, in the meaning defined above Time Traveler ...
The point slope form of a line is: y - y1 = m (x - x1) m is the slope and (x1, y1) is a point on the line This lesson will use the slope and a point that are given to write the equation of a line in this form
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