Find the coordinates of the points of intersection of the graphs with coordinate axes: y=−1.5x+3 x − intercept is ( , ) y − intercept is ( , )

x - intercept is (2,0)

y - intercept is (0,3)

Step-by-step explanation:

y = 0 for x - intercept

0 = - 1.5x + 3

- 3 = - 1.5x

x = 2

x = 0 for y - intercept

y = 0 + 3

y = 3

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

none of the above.

for one of the equations to be used in the process, there has to be a term in the equation since squared is .

since there is only a term in the first equation, we cannot derive a from completing the square.

solving with completing the square