Question

Question 14

A line has a slope of  − 2  and passes through the point ( 3 , 4 ) . Give the equation of the line in slope-intercept form.

a) y  =  − 2 x  +  9

b) y  =  − 2 x  +  11

c) y  =  − 2 x  +  10

d) y  =  − 2 x  +  12

e) y  =  − 2 x  +  8

f) None of the above.

Question 13

The line with slope  ¹⁄₅  and x-intercept  10  is given by

a) y  =  10 x  +  ¹⁄₅

b) y  =  ¹⁄₅ · x  −  2

c) y  =  ¹⁄₅ · x  +  2

d) y  =  2 x  +  ¹⁄₅

e) y  =  ¹⁄₅ · x  +  10

f) None of the above.

Question 12

Find the slope and the  y-intercept of the following line :    − 5 x + 4 y  =  − 2

a) Slope:  ⁵⁄₄ ;     y-intercept:  ( 0 , − 2 )

b) Slope:  ⁵⁄₄ ;     y-intercept:  ( − 2 , 4 )

c) Slope:  ^-5⁄₄ ;     y-intercept:  ( ^-1⁄₂ , 0 )

d) Slope:  ⁵⁄₄ ;     y-intercept:  ( 0 , ^-1⁄₂ )

e) Slope:  ^-5⁄₄ ;     y-intercept:  ( 0 , ^-1⁄₂ )

f) None of the above.

Answer 1

Question 14

A line has a slope of  − 2  and passes through the point ( 3 , 4 ) . Give the equation of the line in slope-intercept form.

a) y  =  − 2 x  +  9

b) y  =  − 2 x  +  11

Answer: c) y  =  − 2 x  +  10

d) y  =  − 2 x  +  12

e) y  =  − 2 x  +  8

f) None of the above.

Equation of the form y − y₁ = m(x − x₁)

y-4 = -2(x-3)

y-4=-2x+6

y=-2x+10

Question 13

The line with slope  ¹⁄₅  and x-intercept  10  is given by

a) y  =  10 x  +  ¹⁄₅

b) y  =  ¹⁄₅ · x  −  2

c) y  =  ¹⁄₅ · x  +  2

d) y  =  2 x  +  ¹⁄₅

e) y  =  ¹⁄₅ · x  +  10

Answer: f) None of the above.

Equation defined by slope and y intercept, not by x intercept.

Question 12

Find the slope and the  y-intercept of the following line :    − 5 x + 4 y  =  − 2

a) Slope:  ⁵⁄₄ ;     y-intercept:  ( 0 , − 2 )

b) Slope:  ⁵⁄₄ ;     y-intercept:  ( − 2 , 4 )

c) Slope:  ^-5⁄₄ ;     y-intercept:  ( ^-1⁄₂ , 0 )

Answer: d) Slope:  ⁵⁄₄ ;     y-intercept:  ( 0 , ^-1⁄₂ )

e) Slope:  ^-5⁄₄ ;     y-intercept:  ( 0 , ^-1⁄₂ )

f) None of the above.

− 5 x + 4 y  =  − 2

4y=5x-2

Y= (5/4)x-2/4 = (5/4)x-1/2

Equation of the form, y=mx+c

Slope= 5/4 and intercept= -1/2