Question

Write an equation in slope-intercept form (Y = mx + b) for the line with the given slope (m = 4) and the Y-intercept (b = -3).

A) Y = 4x - 3
B) Y = -3x + 4
C) Y = 4x + 3
D) Y = -3x - 4

Answer 1

The correct equation in slope-intercept form for the line with a slope of 4 and y-intercept of -3 is Y = 4x - 3.

Step-by-step explanation:

To write an equation in slope-intercept form for a line with slope m = 4 and y-intercept b = -3, we use the formula y = mx + b. Substituting 4 for m and -3 for b, we get y = 4x - 3. The slope m represents the steepness of the line, indicating how much y increases for each increase in x. The y-intercept b tells us the point where the line crosses the y-axis, which is at y = -3 when x = 0. Therefore, the correct equation in slope-intercept form for this line is Y = 4x - 3, which matches option A.