Question

Write an equation in slope-intercept form for the line described. Slope −1/4, passes through (12,−4).

a) y=−14x+1
b) y=−14x−1
c) y=4x+1
d) y=4x−1

Answer 1

To write the equation in slope-intercept form for the given line, we substitute the slope and coordinates of a point into the equation y = mx + b. The equation for the line with a slope of -1/4 and passing through (12, -4) is y = -1/4x - 1.

Step-by-step explanation:

To write an equation in slope-intercept form, we can use the given slope and the coordinates of a point on the line. The slope-intercept form of an equation is y = mx + b, where m is the slope and b is the y-intercept.

Given that the slope is -1/4 and the line passes through (12, -4), we can substitute these values into the equation. So the equation in slope-intercept form is y = -1/4x + b.

To find the value of b, we can substitute the coordinates of the point (12, -4) into the equation. -4 = -(1/4)(12) + b. Solving for b, we get b = -1. Therefore, the equation in slope-intercept form for the line described is y = -1/4x - 1.