Question

What is the equation in the slope-intercept form for the line with a slope of -2 and passing through point (5, -2)?

a) y = -2x + 12
b) y = -2x + 8
c) y = -2x - 7
d) y = -2x - 3

Answer 1

The equation in slope-intercept form for the line with a slope of -2 and passing through the point (5, -2) is y = -2x + 8.

Step-by-step explanation:

To find the equation in slope-intercept form for the line with a slope of -2 and passing through the point (5, -2), we can use the formula y = mx + b, where m is the slope and b is the y-intercept.

Given that the slope is -2, we substitute -2 for m in the formula.

The point (5, -2) lies on the line, so we substitute x=5 and y=-2 into the formula.

Using these values, we can solve for b.

Substituting the values of m and b into the formula, we get the equation as y = -2x + 8.