Question

Line G passes through the point (8,11) and is parallel to the line given by y=3(4x+3). What is the equation of line G? Give your answer in the form y=mx+c , where m and c are integers or fractions in their simplest forms.

Answer 1

The equation of line G is y = 3x - 13.

Step-by-step explanation:

To find the equation of line G, we first need to determine its slope. Since line G is parallel to the line y=3(4x+3), it will have the same slope. The slope of the given line is 3, which means the slope of line G is also 3.

We can use the point-slope form of a line to find the equation. Using the point (8,11) and the slope of 3, we have:

y - y1 = m(x - x1)

Plugging in the values, we get:

y - 11 = 3(x - 8)

Simplifying, we get:

y - 11 = 3x - 24

Finally, rearranging the equation to the form y = mx + c, we obtain:

y = 3x - 13