Final answer:
The equation of a line in slope-intercept form looks just like its equation in point-slope form when you have the coordinates of a point on the line and the value of the slope.
Step-by-step explanation:
In slope-intercept form, the equation of a line is written as y = mx + b, where m is the slope and b is the y-intercept. In point-slope form, the equation of a line is written as y - y₁ = m(x - x₁), where m is the slope and (x₁, y₁) is a point on the line.
The equation of a line in slope-intercept form looks just like its equation in point-slope form when you have the coordinates of a point on the line and the value of the slope. You can substitute these values into either form of the equation to get the same result.
For example, if you have the point (2, 5) on a line with a slope of 3, the slope-intercept form equation would be y = 3x + b, and the point-slope form equation would be y - 5 = 3(x - 2).