Write the equation of the line that has a slope of 2 and passes through the point (-3,4)

Answer 1

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

Given that the slope is 2 and the line passes through the point (-3,4), we can substitute these values into the equation.

Using the point-slope formula, which is y - y1 = m(x - x1), where (x1, y1) represents the coordinates of the given point, we have:

y - 4 = 2(x - (-3))

Simplifying, we get:

y - 4 = 2(x + 3)

Expanding, we get:

y - 4 = 2x + 6

Finally, rearranging the equation, we have:

y = 2x + 10

Therefore, the equation of the line is y = 2x + 10.