Write an equation in slope-intercept form of the line that goes through (5, -10) with a slope of -4.(1 point) Responses  y= -4x + 10 y= -4x + 10  y = 4x + 10 y = 4x + 10  y = -10x+4y = -10x+4y = 5x-4
The correct equation in slope-intercept form of the line that goes through (5, -10) with a slope of -4 is:
y = -4x - 30
Which of the following two lines are parallel (pick 2)(1 point)
Responses

2y = -6x - 8
2y = -6x - 8

2y - 6x = 4
2y - 6x = 4

3x + y = -2
The two lines that are parallel are:
2y = -6x - 8
2y - 6x = 4
To find the equation of a line in slope-intercept form (y = mx + b), we need the slope (m) and a point on the line (x, y).
Given:
Point (x, y) = (5, -10)
Slope (m) = -4
Using the point-slope formula:
y - y₁ = m(x - x₁)
Substituting the values:
y - (-10) = -4(x - 5)
Simplifying:
y + 10 = -4x + 20
Now, we need to isolate the y-variable:
y = -4x + 20 - 10
y = -4x + 10
Therefore, the equation of the line in slope-intercept form is:
y = -4x + 10
To write an equation in slope-intercept form of the line that goes through the point (5, -10) with a slope of -4, we can use the formula:
y = mx + b
where m represents the slope and b represents the y-intercept.
We are given the slope as -4, so we can substitute m = -4 into the equation:
y = -4x + b
Next, we substitute the values of x and y from the given point (5, -10) into the equation:
-10 = -4(5) + b
Simplifying the equation:
-10 = -20 + b
To isolate b, we can add 20 to both sides of the equation:
-10 + 20 = b
10 = b
Now, we substitute the value of b = 10 back into the equation:
y = -4x + 10
Therefore, the equation in slope-intercept form of the line is y = -4x + 10.