17) y = -4x + 2
Clearly, we can tell that the equation is in slope intercept form.
Formula:
Slope intercept form: y = (m)x + (b) [m = Slope; b = y-intercept]
Let us compare the slope intercept form equation with the given equation to determine the slope and the y-intercept.
⇒ y = (m)x + (b) and y = -4x + 2
When comparing both equations, we can observe that:
- "-4" takes the place as "m"
- "2" takes the place as "b"
Therefore, the slope and the y-intercept are -4 and 2 respectively.
Determining the coordinates of the y-intercept;
Note: The y-intercept of the line ALWAYS has an x-coordinate of 0.
⇒ Coordinates of y-intercept: (0, y-intercept) ⇒ (0, 2)
Final answers:
- Slope = -4
- Coordinates of y-intercept = (0, 2)
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18) y = x/7 - 5
Clearly, we can tell that the equation is in slope intercept form.
Formula:
Slope intercept form: y = (m)x + (b) [m = Slope; b = y-intercept]
Let us compare the slope intercept form equation with the given equation to determine the slope and the y-intercept.
⇒ y = (m)x + (b) and y = x/7 - 5
When comparing both equations, we can observe that:
- "x/7" takes the place as "m"
- "-5" takes the place as "b"
Therefore, the slope and the y-intercept are x/7 and -5 respectively.
Determining the coordinates of the y-intercept;
Note: The y-intercept of the line ALWAYS has an x-coordinate of 0.
⇒ Coordinates of y-intercept: (0, y-intercept) ⇒ (0, -5)
Final answers:
- Slope = x/7
- Coordinates of y-intercept = (0, -5)
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19) y = x + 3
Clearly, we can tell that the equation is in slope intercept form.
Formula:
Slope intercept form: y = (m)x + (b) [m = Slope; b = y-intercept]
Let us compare the slope intercept form equation with the given equation to determine the slope and the y-intercept.
⇒ y = (m)x + (b) and y = 1x + 3 [x = 1x]
When comparing both equations, we can observe that:
- "1" takes the place as "m"
- "3" takes the place as "b"
Therefore, the slope and the y-intercept are 1 and 3 respectively.
Determining the coordinates of the y-intercept;
Note: The y-intercept of the line ALWAYS has an x-coordinate of 0.
⇒ Coordinates of y-intercept: (0, y-intercept) ⇒ (0, 3)
Final answers:
- Slope = 1
- Coordinates of y-intercept = (0, 3)
