Question

In: Math

Find an equation In slope intercept form passing through the point (-1,4) and parallel to the...

Find an equation In slope intercept form passing through the point (-1,4) and parallel to the line 2x+2y=7 Show the steps

Solutions

Expert Solution

Slope intercept form is

Where m is slope and are the points

Given points are

Given line is

This line is of the form Slope of this line is

Here, a=2,b=2 and c=-7

So, slope of is

Since we need a parallel line for the line .It must also have the same slope.

So, slope of the required line is

Then,the required equation of line passing through having slope is,

Therefore,

The Equation of the required line is


Related Solutions

1.) Write a​ slope-intercept equation for a line passing through the point (5,−3) that is parallel...
1.) Write a​ slope-intercept equation for a line passing through the point (5,−3) that is parallel to the line 5x+7y=8. Then write a second equation for a line passing through the point (5,−3) that is perpendicular to the line 5x+7y=8. 2.) Write a​ slope-intercept equation for a line passing through the point (4,−3) that is parallel to the line 4x+5y=7. Then write a second equation for a line passing through the point (4,−3) that is perpendicular to the line 4x+5y=7....
1. Find the equation of the line with slope of m = −" # and through the point (8,−1).Write your final answer in slope -intercept form.
  1. Find the equation of the line with slope of m = −" # and through the point (8,−1).Write your final answer in slope -intercept form. ______________________________ 2. Find the equation of the line through the points (2,−7) ??? (−4,−8 ). Write your final answer in slope intercept form. ______________________________ 3. Find the equation of the line which passes through the point (10,−3) & is perpendicular to the line 5?+3?=2 ______________________________
Use the given conditions to write an equation for the line in​ point-slope form and​ slope-intercept...
Use the given conditions to write an equation for the line in​ point-slope form and​ slope-intercept form. Passing through ​( −3​,−4​) and (2,6​) What is the equation of the line in​ point-slope form?   __ ​(Simplify your answer. Use integers or fractions for any numbers in the​ equation.) What is the equation of the line in​ slope-intercept form? __ ​(Simplify your answer. Use integers or fractions for any numbers in the​ equation.)
Write an equation in slope-intercept form of the line that satisfies the given conditions . Through...
Write an equation in slope-intercept form of the line that satisfies the given conditions . Through (-2,-2); parrallel to -x + 2y = 10
-3,7 11,-15 A. Find Point Slope Form B. Find Slope Intercept C. Find X and Y...
-3,7 11,-15 A. Find Point Slope Form B. Find Slope Intercept C. Find X and Y intercepts Sketch a graph
Find Cartesian equation of a plane through the point a and parallel to the given vectors...
Find Cartesian equation of a plane through the point a and parallel to the given vectors p and q. a = (1, - 1, 3) , p= ‹2, -1, 0›, q= ‹2, 0, 6›.
(a) Find the equation of the plane passing through the point P(0, 0, 5) and the...
(a) Find the equation of the plane passing through the point P(0, 0, 5) and the line x = 1 + t, y = 1 − t, z = 4 − 5t. (b) Find parametric equations for the line passing through point (1, 2, 3) and parallel to the line x = 2 − 3t, y = 4 + t, z = 2t.
Writing Equations of Lines Write the slope-intercept form of the equation of the line given the...
Writing Equations of Lines Write the slope-intercept form of the equation of the line given the slope and y-intercept. Slope = -5, y-intercept = -3 Write the slope-intercept form of the equation of the line given the slope and y-intercept. Slope = -1, y-intercept = 5 Write the slope-intercept form of the equation of the line. y – 5 = -10(x – 4) Write the slope-intercept form of the equation of the line. Write the slope-intercept form of the equation...
Write the point-slope form of the line's equation satisfying the given conditions. Then use the point-slope...
Write the point-slope form of the line's equation satisfying the given conditions. Then use the point-slope form of the equation to write the slope-intercept form of the equation. Slope =3, passing through (6 ,2) What is the point-slope form of the equation of the line? __? (Simplify your answer. Use integers or fractions for any numbers in the equation.) What is the slope-intercept form of the equation of the line? __? (Simplify your answer. Use integers or fractions for any...
Find the equation of line passing through the pair of points . Write the equation in the form of Ax+By=C . (2,3) (1,-4)
Find the equation of line passing through the pair of points . Write the equation in the form of Ax+By=C . (2,3) (1,-4)  
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT