To find the slope-intercept form of the equation of a line, we need to determine the slope of the line and the y-intercept.
The slope of a line passing through two points, (x1, y1) and (x2, y2), is given by the formula:
slope = (y2 - y1) / (x2 - x1)
Using the given points (-2, -4) and (2, 4), we can calculate the slope:
slope = (4 - (-4)) / (2 - (-2))
= (4 + 4) / (2 + 2)
= 8 / 4
= 2
So, the slope of the line passing through the given points is 2.
Now, we can use the point-slope form of the equation of a line, which is:
y - y1 = m(x - x1)
where m is the slope of the line and (x1, y1) is one of the given points.
Let's use the first point (-2, -4):
y - (-4) = 2(x - (-2))
y + 4 = 2(x + 2)
Now, let's simplify the equation:
y + 4 = 2x + 4
Subtract 4 from both sides:
y = 2x + 4 - 4
y = 2x
Therefore, the slope-intercept form of the equation of the line passing through the points (-2,-4) and (2,4) is y = 2x.
Write the slope-intercept form of the equation of a line that passes through the points (-2,-4)
and (2,4). Enter your answer below and show all the steps that you used to solve this problem for
full credit.
1 answer