Question

Graph the linear equation find three points that solves the equation 2y=5x+11

Answer 1

Attachment

Explanation:

Convert to the slope-intercept form (y = mx + b):

`2y=5x+11` divide both sides by 2

`(2y)/(2)=(5x)/(2)+(11)/(2)\\\\y=(5)/(2)x+(11)/(2)`

We choose any three x values ​​and calculate the y value:

for x = -1

`y=(5)/(2)(-1)+(11)/(2)=-(5)/(2)+(11)/(2)=(6)/(2)=3\to A(-1,\ 3)`

for x = 1

`y=(5)/(2)(1)+(11)/(2)=(5)/(2)+(11)/(2)=(16)/(2)=8\to B(1,\ 8)`

for x = -3

`y=(5)/(2)(-3)+(11)/(2)=-(15)/(2)+(11)/(2)=-(4)/(2)=-2\to C(-3,\ -2)`

Mark the points on the coordinate plane and draw a line through the given points.