A line has a slope of 2 and passes through the point (—3, 7). What is the equation of the line in slope-intercept form?

1 answer

The slope-intercept form of a linear equation is given by y = mx + b, where m is the slope and b is the y-intercept.

In this case, the slope is 2 and the given point on the line is (-3, 7).

Substituting the given values into the equation, we get 7 = 2(-3) + b.

Simplifying the equation, 7 = -6 + b.

To solve for b, we add 6 to both sides of the equation, giving us b = 7 + 6 = 13.

Now that we have the values of m and b, we can write the equation of the line: y = 2x + 13.

Therefore, the equation of the line in slope-intercept form is y = 2x + 13.