converting between linear equation form

Calculate the Slope of the line that passes through the given points:

(3,7), (6,13)

(a)  

Answer explanation

The slope of a line passing through the points (3,7) and (6,13) can be calculated using the formula (y2-y1)/(x2-x1). In this case, the slope is (13-7)/(6-3) = 2. Therefore, the correct answer is 2.

Calculate the Slope of the line that passes through the given points:

(2, -5), (3,7)

(a)  

Answer explanation

The slope of a line passing through two points (x1, y1) and (x2, y2) is given by (y2 - y1) / (x2 - x1). In this case, the slope is (7 - (-5)) / (3 - 2) = 12. Therefore, the correct answer is 12.

Convert y=2x-3 to standard form.

• 2x+y= -3

• 2x+y=3

• -2x+y= -3

• -2x+y=3

Answer explanation

To convert y=2x-3 to standard form, move all terms to one side of the equation. The correct choice is -2x+y=-3.

Convert 6x+3y=12 into slope-intercept form.

• y=2x+4

• y=4x-2

• y=-2x+4

• y=-4x+2

Answer explanation

To convert the equation into slope-intercept form, isolate y. The correct choice is y=-2x+4, which represents the equation in the form y=mx+b, where m is the slope (-2) and b is the y-intercept (4).

Convert (y-3)= 2(x+1) into slope-intercept form.

• y=2x+4

• y=5x-4

• y=4x+3

• y=2x+5

Answer explanation

To convert the equation into slope-intercept form, isolate y on one side. Distribute 2 to (x+1) and combine like terms. The correct choice is y=2x+5.

Rewrite in slope intercept form.

• y = − 6 /5 x − 3

• y = − 6/ 5 x + 3

• y = 3/5x + 6

• y = 3/5x - 6

Convert the equation x + 2y = -8

(a)