draw a line with a slope of 1/4 through the point (0 -4)
y=x/4 -4
can you draw that? If not connect the following points (4,0) and (0,-4)
better try using
(16,0) and (0,-4)
To draw a line with a slope of 1/4 through the point (0, -4), you will need to follow a few steps:
Step 1: Understand the slope-intercept form of a linear equation.
The slope-intercept form of a linear equation is written as y = mx + b, where:
- 'y' is the y-coordinate of a point on the line,
- 'x' is the x-coordinate of that same point,
- 'm' is the slope of the line, and
- 'b' is the y-intercept of the line.
Step 2: Identify the slope and the point.
Given that the slope of the line is 1/4 and the point is (0, -4), we have:
- Slope (m) = 1/4
- Point (x, y) = (0, -4)
Step 3: Use the point-slope form of a linear equation.
The point-slope form of a linear equation is written as y - y₁ = m(x - x₁), where:
- (x₁, y₁) is a given point on the line, and
- 'm' is the slope of the line.
Step 4: Substitute the values into the point-slope form.
Using the given point (0, -4), we substitute the values into the point-slope form:
y - (-4) = 1/4(x - 0)
Simplifying the equation leads to:
y + 4 = 1/4x
Step 5: Convert the equation to slope-intercept form.
To convert the equation to slope-intercept form, we isolate y:
y = 1/4x - 4
Now we have the equation y = 1/4x - 4, which represents the line with a slope of 1/4 passing through the point (0, -4).