Question

Calculate the equation in slope-intercept form for a line with a slope of 2 and a y-intercept of -3.

a) y equals 2x minus 3
b) y equals minus 3x plus 2
c) y equals 2x plus 3
d) y equals minus 2x minus 3

Answer 1

The equation of a line with a slope of 2 and a y-intercept of -3 is y = 2x - 3, making the correct option a) y equals 2x minus 3.

Step-by-step explanation:

The question asks us to calculate the equation in slope-intercept form for a line with a given slope of 2 and a y-intercept of -3. The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept. Given the slope (m) is 2 and the y-intercept (b) is -3, we simply plug these values into the formula to arrive at the equation of the line.

So the equation will be y = 2x + (-3), simplifying it to y = 2x - 3.

Therefore, the correct option in the final answer is a) y equals 2x minus 3.