Question

A line has a slope of 1/4 and passes through point (0.4 , -1/2) What is the value of the y-intercept?

Answer 1

The value of the y-intercept is -7/10.

Step-by-step explanation:

The equation of a line can be written in the form y = mx + b, where m represents the slope and b represents the y-intercept.

Given that the slope of the line is 1/4, we can write the equation as y = (1/4)x + b.

We are also given that the line passes through the point (0.4, -1/2). Substituting these values into the equation, we have -1/2 = (1/4)(0.4) + b.

Simplifying, we find that b = -1/2 - 1/10 = -6/10 - 1/10 = -7/10.

Therefore, the value of the y-intercept is -7/10.

Answer 2

y = mx + c where m is slope/ gradient and c is y-intercept Given slope = 1/4 = 0.25 and (0.4, -0.5), -0.5 = 0.25(0.4) + c c = -0.5 - 0.1 = -0.6 y-intercept is -0.6.