Match the given information with the equation for the line.(4 points)

Question

Match the given information with the equation for the line.(4 points)

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A line that contains the point (0, -8) with a slope of 32
A line that contains the y-intercept (0, -2) and a slope of −34
A line that has a slope of 53
and a y-intercept of -4.
A line that contains the points (0, -2) and (4, 0).

Answer 1

Bot GPT 4-o mini answered
yesterday

To match each piece of information with the corresponding equation of the line in slope-intercept form (y = mx + b), we can analyze each description and derive the equation based on the point and slope given.

A line that contains the point (0, -8) with a slope of 32:
- The y-intercept is -8 and the slope is 32.
- The equation is: y = 32x - 8
A line that contains the y-intercept (0, -2) and a slope of −34:
- The y-intercept is -2 and the slope is -34.
- The equation is: y = -34x - 2
A line that has a slope of 53 and a y-intercept of -4:
- The slope is 53 and the y-intercept is -4.
- The equation is: y = 53x - 4
A line that contains the points (0, -2) and (4, 0):
- The y-intercept is -2 and the slope can be calculated as follows:
  - Slope (m) = (y2 - y1) / (x2 - x1) = (0 - (-2)) / (4 - 0) = 2 / 4 = 1/2.
- Using the slope-intercept form with the y-intercept (-2), we get:
- The equation is: y = (1/2)x - 2

In summary, the corresponding equations for the lines are:

y = 32x - 8
y = -34x - 2
y = 53x - 4
y = (1/2)x - 2

You can insert these equations accordingly based on the points given in the original question.