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Write the equation of this line in slope-intercept form.
Write your answer using integers, proper fractions, and improper fractions in simplest form.
In order to write the equation of a line in slope-intercept form, we need two pieces of information: the slope of the line (m) and the y-intercept of the line (b).
If we are not given the slope and y-intercept, one option is to find two points on the line and use them to determine the equation. The slope is found using the formula:
slope (m) = (y2 - y1) / (x2 - x1),
where (x1, y1) and (x2, y2) are two points on the line. Once we have the slope, we can plug in one of the points and the slope into the equation y = mx + b to solve for the y-intercept (b).
Another option is if we are given the slope of the line and a point it passes through. In this case, we can plug the slope and the point into the point-slope form of a line and then simplify the equation to slope-intercept form.
If you provide me with a specific line (e.g., through visualization) or the necessary information (i.e., slope and a point), I can help you write the equation of that line in slope-intercept form.
4,-7
Since you have provided a point on the line (4, -7), we can use this information to write the equation of the line in slope-intercept form.
First, let's assume that the slope of the line is m. We can use the point-slope form of a line, which is:
y - y1 = m(x - x1),
where (x1, y1) = (4, -7).
Plugging in the values we have:
y - (-7) = m(x - 4)
y + 7 = m(x - 4)
Next, we need to find the slope of the line. Since we don't have the slope given, we can't determine the exact equation of the line without it.
If you provide me with the slope of the line, I can calculate the y-intercept (b) and then write the equation of the line in slope-intercept form as y = mx + b. Let me know if you have the slope value or need further assistance.