The equation of the line l is: 2y=-3x+4 (a) rewrite the line l in form y=mx + b.

Question

The equation of the line l is: 2y=-3x+4 (a) rewrite the line l in form y=mx + b. (b) what is the slope of line l? What is the y-intercept of line l? (c) show that the point (2,-1) is on line l. The equation of the line l is: 2y=-3x+4 (a) rewrite the line l in form y=mx + b. (b) what is the slope of line l? What is the y-intercept of line l? (c) show that the point (2,-1) is on line l. (a) rewrite the line l in form y=mx + b. (b) what is the slope of line l? What is the y-intercept of line l? (c) show that the point (2,-1) is on line l.

Explanation / Answer

2y = -3x+4

a) divide the above equation by 2

y = (-3/2)x+2

which is in the form of y =mx+b

b ) slope = -3/2 (by comparison)

    y - intercept = 2

c) put x=2 , y =-1 on line l

2(-1) = -3(2)+4

-2 = -2

hence it lies on line l

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