Answer:
Explanation:
To find the equation with a slope of 3 through the point (9, -4), we can substitute the values into the equation and solve for 'b'.
We have the slope, m = 3, and the point (9, -4), which means x = 9 and y = -4.
Using the point-slope form of the equation: y - y1 = m(x - x1), we substitute the values:
y - (-4) = 3(x - 9)
Simplifying:
y + 4 = 3(x - 9)
y + 4 = 3x - 27
Now, rearranging the equation to slope-intercept form:
y = 3x - 27 - 4
y = 3x - 31
Therefore, the equation in slope-intercept form that represents a line with slope 3 through the point (9, -4) is y = 3x - 31.