Let (x1, y1) = (-1, -6) and (x2, y2) = (-2, 10). Then the slope,
m = (y2 - y1)/(x2 - x1) = (10 - -6)/(-2 - -1) = 16/-1 = -1/16.
So that the point-slope form of the equation of the given line is:
(y - y1) = m(x - x1)
(y - -6) = (-1/16)(x - -1)
(y + 6) = (-1/16)(x + 1)
Write the equation of a line in slope-intercept form that has a slope of -2 and passes through the point (2, -8).
The equation is x = -7.
Here is how to solve it. First, find the slope of the given line. To do this, solve the equation for "y". That will convert the equation to the slope-intercept form. From there, you can immediately read off the slope. Since parallel lines have the same slope, the line you are looking for will have the same slope. Now you need to use the point-slope form of the equation, with the given point, and the slope you just calculated. Finally, solve this equation for "y" to bring it into the requested slope-intercept form.
There are infinitely many lines that pass through the point (5, 5). The point slope equation for a straight line with a given slope m through a point (x0, y0) is given by: y - y0 = m(x - x0) Which means that the straight line through the point (5, 5) will have an equation of the form: y - 5 = m(x - 5) where m is the slope of the line - you'll need to replace that with the slope you require.
Another point is needed to work out the slope and its straight line equation. Slope is worked out as: (y2-y1)/(x2-x1) ----------------------- With slope m and going through a point (x0, y0), a line has equation: y - y0 = m(x - x0) Thus the point-slope equation of a line with slope m through the point (-1, 2) is given by: y - 2 = m(x - -1) → y - 2 = m(x + 1)
When it is a line through the origin.
Point: (1, 4) Slope: -3 Equation: y = -3x+7
Write the equation of a line in slope-intercept form that has a slope of -2 and passes through the point (2, -8).
33
Given a point P = (a,b) and slope m, the equation of a line through P with slope m is (y-b) = m(x-a)
You can have infinitely many lines through one specific point, each with a different equation. If you want to have a general equation for ANY line that goes through that point, use the point-slope equation for a line, and use a variable for the slope.
The equation is x = -7.
Here is how to solve it. First, find the slope of the given line. To do this, solve the equation for "y". That will convert the equation to the slope-intercept form. From there, you can immediately read off the slope. Since parallel lines have the same slope, the line you are looking for will have the same slope. Now you need to use the point-slope form of the equation, with the given point, and the slope you just calculated. Finally, solve this equation for "y" to bring it into the requested slope-intercept form.
Slope=8 point=(-7,3)
no it is different
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
Point: (2, 4) Slope: -3 Equation: y = -3x+10