Question

Parallel we are,

I am y=4x-3…
You are y=4x+___ thus far
(-26,20) a point you pass through…
To finish your equation...
If only we knew.

Answer 1

use this equation:
point slope: y - y1 = m ( x - x1)


Plug in the numbers: y - 20 = 4 ( x - -26)

Make it a plus because of the 2 negatives:
y - 20 = 4 (x + 26)

Multiply:
y - 20 = 4x+104

Carry the -20 over to the other side and change signs. Then add it to -104:
y = 4x - 104 + 20
y = 4x - 84

So the answer is: -84

Answer 2

To find the equation of a line parallel to y = 4x - 3 and passing through (-26, 20), the slope is maintained at 4 and the y-intercept is calculated, resulting in y = 4x + 124.

Step-by-step explanation:

The question involves finding the missing term in a linear equation that represents a line parallel to a given line and passing through a specific point. The original line's equation is y = 4x - 3, and the point the new line passes through is (-26, 20). Since parallel lines have the same slope, the slope of the new line will also be 4. To find the y-intercept of the new line, we use the equation y = mx + b, where m is the slope and b is the y-intercept. Substituting the given point into the equation, we have 20 = 4(-26) + b. Solving for b gives us b = 20 + 104 = 124. Thus, the equation of the parallel line is y = 4x + 124.