Question

determine the slope and y-intercept of the line.
y = 5x + 4
a. slope = 4, y-intercept is (0, 5) c. slope = 5, y-intercept is (0, 4)
b. slope = -5, y-intercept is (0, 4) d. slope = 4, y-intercept is (0, -5)
please select the best answer from the choices provided
a
b
c
d

Explanation:

Step1: Recall the slope - intercept form

The slope - intercept form of a linear equation is $y = mx + b$, where $m$ is the slope of the line and $b$ is the y - intercept. The y - intercept is the point where the line crosses the y - axis, and its coordinates are $(0,b)$.

Step2: Identify $m$ and $b$ from the given equation

For the equation $y = 5x+4$, comparing it with $y = mx + b$, we can see that $m = 5$ (the coefficient of $x$) and $b = 4$ (the constant term). So the slope is 5 and the y - intercept is the point $(0,4)$ (since when $x = 0$, $y=b = 4$).

Answer:

C. Slope = 5, y - intercept is (0, 4)