Question

Which is the equation of a line that has a slope of 1/2 and passes through point (2, -3)?

Answer 1

y=1/2x - 3 or y = 0.5x - 3

Explanation:

The equation of a line is y=mx+c where m is the gradient and c is where the line crosses the y-axis (more commonly know as the y-intercept)

The slope otherwise knows as the gradient is 1/2 meaning that it would fit into the equation in the position of m making the equation so far y=0.5x + c

We are told the line passes through the point (2,-3) and this tells us that the y-intercept is -3 making our equation y = 0.5x -3

Have a lovely day

Answer 2

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept (the point where the line crosses the y-axis).

Given that the slope of the line is 1/2 and it passes through the point (2, -3), we can substitute these values into the equation to find the equation of the line.

To find the y-intercept (b) we can substitute the point (2,-3) into the equation and solve for b:

y = (1/2)x + b

-3 = (1/2) * 2 + b

-3 = 1 + b

b = -4

So, the equation of the line is y = (1/2)x - 4

This line can also be written in other forms, such as point-slope form, which is y - y1 = m(x - x1). This equation can be used to find the equation of the line if the slope and a point on the line are known.