Answer:
The point slope form is y - 3 = 1/2(x+4) and the slope intercept form is y = 1/2x + 5.
The Standard form is x - 2y = -10.
Step-by-step explanation:
Parallel lines have the same slope. First, find the slope of the line 2x -4y = 8 by converting it to slope intercept form.
2x - 4y = 8
-4y = 8-2x
y = 1/2x - 2
The slope here is 1/2.
Substitute m = 1/2 and the point (-4,3) into the point slope form. Then simplify to find the Slope Intercept form and standard form.
[tex]y -y_1=m(x-x_1)\\y - 3 = \frac{1}{2}(x--4)\\y - 3 = \frac{1}{2}(x+4)\\y - 3 = \frac{1}{2}x + 2\\\\y = \frac{1}{2}x + 5[/tex]
The point slope form is y - 3 = 1/2(x+4) and the slope intercept form is y = 1/2x + 5.
Now the standard form can be found by rearranging the terms into the form Ax + By = C.
y= 1/2 x + 5 becomes -1/2x + y = 5. Since standard form cannot have fractions for A or B, multiply the equation by -2.
It becomes x - 2y = -10.
