Answer:
Equation of the line (slope-intercept form): y = 2/3x + 4
Explanation:
We can find the equation in slope-intercept form, whose general form is
y = mx + b, where
- m is the slope,
- and b is the y-intercept:
y-intercept, b: We see on the graph that the line intersects the y-axis at the point (0, 4). Thus, the y-intercept (b in the slope-intercept equation) is 4.
Slope, m: We can find the slope using the slope formula, which is
m = (y2 - y1) / (x2 - x1), where
- m is the slope,
- (x1, y1) is one point on the line,
- (x2, y2) is another point on the line
We see from the line intersects the x-axis at (-6, 0). Thus, we can allow (-6, 0) to be our (x1, y1) point and (0, 4) to be our (x2, y2) point:
m = (4 - 0) / (0 - (-6))
m = (4) / (0 + 6)
m = 4 / 6
m = 2/3
Since the slope of the line is 2/3 and the y-intercept is 4, the equation of the line is y = 2/3x + 4