Answer: y = 2x - 4
Step-by-step explanation:
First you find the parallel slope. It's 2, as shown in the slope-intercept equation you provided.
Now you have to use point-slope form where m is slope, y1 is a y-coordinate and x1 is an x-coordinate:
[tex]y - y_1 = m(x - x_1)[/tex]
to find the line using the slope of 2 and the point (3, -2)
You plug in everything and get:
y - (-2) = 2 ( x - 3 )
y + 2 = 2 ( x - 3 )
y + 2 = 2x - 6
y = 2x - 4
Answer:
[tex]y=2x-8[/tex]
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{6.3 cm}\underline{Slope-intercept form of a linear equation}\\\\$y=mx+b$\\\\where:\\ \phantom{ww}$\bullet$ $m$ is the slope. \\ \phantom{ww}$\bullet$ $b$ is the $y$-intercept.\\\end{minipage}}[/tex]
The slope of the given line y = 2x + 4 is 2.
Parallel lines have the same slope.
Therefore, the slope of the line parallel to the given line is also 2.
Substitute the found slope and the given point (3, -2) into the slope-intercept formula and solve for b:
[tex]\implies -2=2(3)+b[/tex]
[tex]\implies -2=6+b[/tex]
[tex]\implies -2-6=6+b-6[/tex]
[tex]\implies -8=b[/tex]
[tex]\implies b=-8[/tex]
Substitute m = 2 and b = -8 into the slope-intercept formula to create the equation of the line that is parallel to the given line and that passes through the point (3, -2):
