Question

What is the equation of the line in slope-intercept form with a slope of 2 and a y-intercept of -7?

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

Answer 1

The equation of the line with a slope of 2 and a y-intercept of -7 in slope-intercept form is y = 2x - 7.

Step-by-step explanation:

The slope-intercept form of a linear equation is commonly represented as y = mx + b, where m is the slope and b is the y-intercept. The slope is a measure of the steepness of a line, defined as the change in y over the change in x ('rise over run'), and the y-intercept is the point where the line crosses the y-axis.

For a line with a slope of 2 and a y-intercept of -7, the equation in slope-intercept form is y = 2x - 7. Therefore, the correct answer is: a) y = 2x - 7.