Find the slope-intercept form of the line that passes through given the point and has the given slope. Include your work in your final answer. Type your answer in the box provided or use the upload option to submit your solution.
(1, 3)
m = 2
the point-slope form tells you that
y-3 = 2(x-1)
Rearrange things to get
y = 2x + 1
2x - 3y = 6
To find the slope-intercept form of a line, we need the slope (m) and a point (x, y) on the line. In this case, we have the point (1, 3) and the slope m = 2.
The slope-intercept form of a line is given by the equation y = mx + b, where m is the slope and b is the y-intercept.
To find b, we can substitute the values of x, y, and m into the equation and solve for b.
Using the point (1, 3), we have:
3 = 2(1) + b
Simplifying the equation, we get:
3 = 2 + b
To isolate b, we subtract 2 from both sides of the equation:
3 - 2 = b
1 = b
So the value of b is 1.
Now, we can substitute the values of m and b back into the equation y = mx + b to get the final answer.
The slope-intercept form of the line that passes through the point (1, 3) and has a slope of 2 is:
y = 2x + 1