Write the equation of the line in slope- intercept and point-slope form.

Step-by-step explanation:

As we move from the x-intercept (-2, 0) to the y-intercept (0, 4), x increases by 2 (this is the run) and y by 4 (this is the rise).  Thus, the slope of this line is

m = rise/run = 4/2 = 2.

Given the y-intercept (0, 4) and the slope (2), the slope-intercept form of the equation of this line is y = 2x + 4.

From this we get the point-slope form:

y = 2x + 4 becomes y - 4 = 2(x - 0), or just y - 4 = 2x.

Parallel lines have the same slope as each other...
First, get L in slope-intercept form:
5x-y+4=0
5x + 4 = y
y = 5x + 4 (5 is the slope and 4 is the intercept)
Now that we know the slope, we can use point-slope form to find the equation for the second line
y − y1 = m(x − x1)
y - (-3) = 5(x - (4))
y + 3 = 5(x - 4)
Get it into slope-intercept form...
y + 3 = 5x - 20
y = 5x - 17
This equation has the same slope as L and passes through the point (4, -3)