Match the given information with the equation for the line.
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
A line that contains the point (0, -8) with a slope of 3/2
A line that contains the points (0, -2) and (4, 0)
A line that contains the y-intercept (0, -2) and the slope of -3/4
A line that has a slope of 5/3 and a y-intercept of -4
y = 3/2x - 8
y = (1/2)x - 2
y = -3/4x - 2
y = 5/3x - 4
A line that contains the point (0, -8) with a slope of 3/2
y = 3/2x - 8
A line that contains the points (0, -2) and (4, 0
y = (1/2)x - 2
To match the given information with the equation for the line, we need to use the slope-intercept form of a linear equation, which is y = mx + b, where m represents the slope and b represents the y-intercept.
For the first question, we are given the point (0, -8) and a slope of 3/2. By substituting the values into the slope-intercept form, we get y = (3/2)x - 8.
For the second question, we are given the points (0, -2) and (4, 0). To find the slope, we use the formula m = (y2 - y1)/(x2 - x1) with the two points (x1, y1) = (0, -2) and (x2, y2) = (4, 0). Substituting the values into the formula, we get m = (0 - (-2))/(4 - 0) = 2/4 = 1/2. Now, we can substitute the slope and one of the given points into the slope-intercept form to get y = (1/2)x - 2.
For the third question, we are given the y-intercept (0, -2) and a slope of -3/4. Substituting the values into the slope-intercept form, we get y = (-3/4)x - 2.
For the last question, we are given a slope of 5/3 and a y-intercept of -4. By substituting the values into the slope-intercept form, we get y = (5/3)x - 4.
To match the given information with the equations, you can copy the equations from here and paste them into the appropriate response inputs.