The graph of linear function `g` passes through the points`(-7,-4)`and `(7,6)` as shown.
What are the slope and y-intercept of the graph `g`?
The slope is 5/7 and the y-intercept is -1
the slope is 5/7 and the y intercept is 1
the slope is 7/5 ad the y intercept is -1
the slope 7/5 and the y intercept is 1
Let's first calculate the slope using the formula:
slope = (y2 - y1) / (x2 - x1)
Given points are (-7, -4) and (7, 6).
Using the formula:
slope = (6 - (-4)) / (7 - (-7))
slope = (6 + 4) / (7 + 7)
slope = 10 / 14
slope = 5 / 7
Therefore, the slope is 5/7.
To find the y-intercept, we can use the equation of a line in slope-intercept form:
y = mx + b
We already know the slope (m = 5/7). To find the y-intercept (b), we can substitute either of the given points. Let's use (-7, -4):
-4 = (5/7)(-7) + b
-4 = -5 + b
b = -4 + 5
b = 1
Therefore, the y-intercept is 1.
Therefore, the correct answer is: the slope is 5/7 and the y-intercept is 1.