(4, 10); m = -1/4
y = mx + b replace y with 10, m with -1/4, and x with 4
10 = (-1/4)4 + b
10 = -1 + b add 1 to both sides
11 = b
y = (-1/4)x + 11
Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the given line (-7,3); x=4
Both straight line equations will have the same slope or gradient but the y intercepts wll be different
x = 1 (the line intersects the x-axis at 1, and is parallel to the y-axis)We cannot write the equation on the Slope-intercept form, since the slope of the line is undefined. 1 is the x-coordinate of any point on the given line.
that's a verticle line cuz the x stays the same so it is X=-2
To work out the equation of a straight line the slope and an (x, y) coordinate must be given
Coordinate geometry
Write the equation of a line in slope-intercept form that has a slope of -2 and passes through the point (2, -8).
(0,-6) m=-2
Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the given line (-7,3); x=4
Yes, I could, if I knew the slope of the line given.
Parallel straight line equations have the same slope but with different y intercepts
the Equation of a Line Given That You Know Two Points it Passes Through.
If the point is x=a, y=b ie the point (a,b) , then your line is y-b=m(x-a) where m is the gradient (anything you like).
Given point: (6, 7) Equation: 3x+y = 8 Parallel equation: 3x+y = 25
The standard form is: 5x - y + 4 = 0
Both straight line equations will have the same slope or gradient but the y intercepts wll be different
If given simply the slope of a line and a point through which it passes, and then told to find the equation of the line, one of the easiest ways of doing so is to use the point-slope formula.