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 and the y-intercept is -1
The slope is 7/5 and the y-intercept is 1
Find the y-intercept on the graph first and eliminate choices. The y-intercept is the number where the graph crosses the y-axis. There are 3 ways to find the slope:
Tilde Time
Slope Formula
rise over run
To find the y-intercept, we can use the point (0, b), where b is the y-intercept. Using the two given points, we can calculate the slope:
slope = (6 - (-4)) / (7 - (-7))
slope = 10 / 14
slope = 5 / 7
Now that we have the slope, we can use the point-slope form of a linear equation to find the y-intercept:
y - y1 = m(x - x1)
y - 6 = (5/7)(x - 7)
y - 6 = (5/7)x - 5
y = (5/7)x + 1
Therefore, the slope is 5/7 and the y-intercept is 1.
The correct answer is:
The slope is 5/7 and the y-intercept is 1