Find an equation of the line with the given slope and containing the given point

Question

Find an equation of the line with the given slope and containing the given point Express your answer in slope-intercept form. (75) , (7,5) m 12 Find the equation of the line that passes through the given point and has the given slope. Express your answer in slope-intercept form. (-8,-6), m 2 What is the slope-intercept form of the equation that passes through (-8, -6) and has a slope of 2? 13- Find the equation of the line that passes through the given point and has the given slope. Express your answer in slope-intercept formm (30), rm=-- What is the slope-intercept form of the equation that passes through (3.0) and has a slope of - 14 Find the equation of the line passing through the given pair of points. Write the equation in slope-intercept form What is the slope-intercept form of the equation that passes through (-4,-1) and (3,8)? 15- Find the equation of the line passing through the given pair of points. Write the equation in slope-intercept form. What is the slope-intercept form of the equation that passes throughd6 16- passing through the given pair of points the equation in slope-intercept fom. Find the equation of the line passing through the given pair of points. Write the equation in slope-intercept form. (4,7) and (-2,7)

Explanation / Answer

eqaution of a straight line with slope =m and intercept =c is

y = mx + c

1)given m = 6/7 and it passes through (7,5)

y = (6/7)*x +c

=>5 = (6/7)*7 +c

=> 5 = 6+c

=>c = -1

hence y = (6/7)x -1 is the required equation

12) m = 2 , passes through (-8, -6)

y = 2x+c

=> -6 = 2* -8 +c

=> -6 = -16+c

=> c=10

equation is y = 2x+10

14)as line passes through (-4,-1) and (3,8)

these point will satisfy y = mx+c

so -1 = -4m+c ---------------------------(1)

8 = 3m +c ----------------------------(2)

=> -9 = -7m => m = 9/7

from (2)

8*7 = 3*9 +7c

=> c = (56-27)/7 = 29/7

so y = (9/7)x +29/7 is the required equation

=>

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