Question

Write an equation in slope-intercept form for the line that passes through the

given point and is parallel to the graph of the given equation.
(-1, -2), 3x - y = 5

Answer 1

y = 3x + 1

Explanation:

the slope of the line of the given equation can bé find in this way: -a/b, where a is the number that multiplies x and b is the number that multiplies y

m = -3/-1 = 3

two parallel lines have the same slope, so also the line that we are a searching has m=3

now we can use this formula

y-y1 = m(x-x1) where y1 and x1 indicate the coordinates of the given point

y-(-2) = 3 (x-(-1)

y+2 = 3x + 3

y = 3x + 3-2

y = 3x + 1

Answer 2

Make slope intercept
3x - y = 5
3x = y + 5
y = 3x - 5
Parallel = same slope
Slope = 3
Y = 3x + b
Plug in the point
-2 = 3(-1) + b
-2 = -3 + b, b = 1

Solution: y = 3x + 1