Draw a line with a slope of 1/4 through the point (0,-4)
I don't know what to do here.
-4 = (1/4) (0) + b
b = -4
y = (1/4) x -4
or
4 y = x - 16 graph that line
but there is no graph on my paper showing that it only goes to -6
well, naturally, we have no way of knowing what graphs you have on your paper. Draw your own graph, and see whether it looks like one of your choices. The line naturally, does not stop at -6, though you don't even say whether that is x or y.
To draw a line with a slope of 1/4 through the point (0, -4), you can follow these steps:
Step 1: Plot the given point on the coordinate plane. In this case, the point (0, -4) is located at the origin on the y-axis, 4 units below.
Step 2: Determine the slope. The slope of a line is represented by the ratio of the vertical change (rise) to the horizontal change (run) between any two points on the line. The slope in this case is 1/4. This means that for every 1 unit you move horizontally to the right, you will move 1/4 units vertically upwards.
Step 3: Use the slope-intercept form of a linear equation. The slope-intercept form is given by y = mx + b, where "m" represents the slope and "b" represents the y-intercept (the y-value where the line intersects the y-axis). However, since we have a specific point on the line (0, -4), we can use the point-slope form of a linear equation instead.
Step 4: Apply the point-slope form. The point-slope form is given by y - y₁ = m(x - x₁). In this equation, (x₁, y₁) represents the given point on the line, and "m" represents the slope. Plugging in the values, we get:
y - (-4) = 1/4(x - 0)
y + 4 = 1/4x
Step 5: Simplify the equation. To put it in slope-intercept form, isolate y on one side of the equation:
y = 1/4x - 4
Step 6: Plot a second point. To draw a line, you need at least two points. Choose any value for x (other than 0) and substitute it into the equation to find the corresponding y-coordinate. For example, if x = 4:
y = 1/4(4) - 4
y = 1 - 4
y = -3
So, the second point is (4, -3).
Step 7: Connect the two plotted points. Once you have both points, draw a straight line that passes through them. This line represents a line with a slope of 1/4 passing through the point (0, -4).
I hope this explanation helps you understand how to draw a line with a specific slope through a given point!