Answer:
The equation of the line in slope-intercept form is y = 2x - 7.
Explanation:
The slope-intercept form of a linear equation is given by y = mx + b, where m represents the slope and b represents the y-intercept.
Given that m = 2 and the line passes through the point (2, -3), we can substitute these values into the equation and solve for the y-intercept, b.
The slope, m = 2
The coordinates of the point on the line: (x₁, y₁) = (2, -3)
Substituting the values into the equation:
-3 = 2(2) + b
Simplifying:
-3 = 4 + b
To solve for b, we subtract 4 from both sides:
-3 - 4 = b
-7 = b
Now that we have the value of b, we can write the equation in slope-intercept form:
y = 2x - 7
Therefore, the equation of the line in slope-intercept form is y = 2x - 7.