Question

X-intercept = -3, y-intercept = 1 the what is the correct equation?

a) Y = -3x - 3
b) Y = x - 3
c) Y = -x + 3
d) Y = -3x + 1

Answer 1

The correct equation is Y = -3x + 1.

Step-by-step explanation:

The correct equation for a line with an x-intercept of -3 and a y-intercept of 1 is Y = -3x + 1.

To find the equation, we use the slope-intercept form y = mx + b, where m is the slope and b is the y-intercept. Given that the x-intercept is -3, we know that the point (-3,0) lies on the line. We can use this point and the y-intercept (0,1) to find the slope:

slope = (y2 - y1) / (x2 - x1) = (1 - 0) / (0 - (-3)) = 1/3

Substituting the slope and y-intercept into the slope-intercept form gives us the equation: Y = -3x + 1.