# Write an Equation Given the Slope and a Point

When given the slope of a line and a point that lies on it, we can easily write the equation of the line using the point-slope form. This form, \(y - y_1 = m(x - x_1)\), utilizes the given point's coordinates, \((x_1, y_1)\), and the slope, \(m\), to express the relationship between \(x\) and \(y\) on the line. By substituting the known values into the equation, we can determine the specific equation that describes the line's behavior. This method is straightforward and effective for quickly determining the equation of a line with known slope and point.

Questions

- How do you find a standard form equation for the line with Slope 5; through (-3, -9)?
- What is the equation of the line that goes through #(5,-1)# and has a slope of #3/2#?
- How do you write the equation of the line in the form AX+BY=C if (9, -8) and (0, 3)?
- How do you find a standard form equation for the line with (-5,-6) with slope 3?
- How do you write an equation of a line with point (6,4), slope -3/4?
- How do you write the standard form of a line given undefined slope and passes through the point (4, 7)?
- What is the slope of #3x + 5y = -15#?
- What is the equation of the line with slope # m= -40/49 # that passes through # (18/7, 34/21) #?
- How do you write the equation of a line in point slope form and slope intercept form given points (3, -8) (-2, 5)?
- How do you write an equation of a line that goes through (6,-2); m= -4/3 in standard form?
- How do you write an equation of the line in standard form with m = 4/3 (-2,-6)?
- What is the equation of the vertical line that passes through the point (6,-2)?
- What is the equation of the line that has a slope of #-2# and goes through the line #(4,3)#?
- What is the equation of a line that goes through #(-6, 3)# and has a slope of #-2/3#?
- How do you write an equation in point slope form given (-3, -4) m= 0?
- How can we determine the equation of the line described ?. Put answer in the slope intercept form, if possible. Through ( -4, 2) perpendicular to x = - 8
- How do you write an equation in point slope and slope intercept form given point (3,2) and has a slope of -2?
- How do you write the equation in point slope form given m=1/2; C(0,0)?
- What is the equation of a vertical line going through #(2, 1958)#?
- In the slope intercept form (y=mx+b) what does y mean? I understand everything else