Answer:
y = -4x + 5.
Explanation:
The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.
Given that the line passes through the point (2, -3) and has a slope of -4, we can use the point-slope form of a linear equation to find the y-intercept:
y - y1 = m(x - x1)
where x1 and y1 are the coordinates of the given point, and m is the slope.
Substituting the given values, we get:
y - (-3) = -4(x - 2)
Simplifying and rearranging, we get:
y + 3 = -4x + 8
Subtracting 3 from both sides, we get:
y = -4x + 5
Therefore, the equation in slope-intercept form for the given line is y = -4x + 5.