5)Write the equation of a line, which is parallel to 2x -4y =12 and passing through the point (4,3) in standard form using integers?

Step-by-step explanation:

Hi there!

What we need to know:

1) Determine the slope (m)

Rewrite in slope-intercept form. This will make it easier for us to identify the slope.

Slope-intercept form: where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)

Subtract 2x from both sides to isolate -4y

Divide both sides by -4 to isolate y

Now, we can see clearly that is in the place of m in , making it the slope of the line.

Because parallel lines have the same slopes, we know that the line we're determining will also have a slope of .

2) Determine the y-intercept (b)

Plug into

Plug in the given point (4,3)

Subtract 2 from both sides

Therefore, the y-intercept (b) is 1. Plug this back into

I hope this helps!

step-by-step explanation:

1. practice, practice & more practice

2. review errors

3. master the key concepts

do not try to memorise the processes.

4. understand your doubts.

5. create a distraction free study environment

6. create a mathematical dictionary

7. apply maths to real world problems.

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.