Find an equation of the line that satisfies the given conditions. (1,7) slope 2/3
The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. Given that the slope is 2/3, we can substitute m = 2/3 into the equation:
y = (2/3)x + b
To find b, we substitute the coordinates (1, 7) into the equation:
7 = (2/3)(1) + b
7 = 2/3 + b
To isolate b, subtract 2/3 from both sides:
b = 7 - 2/3
b = 21/3 - 2/3
b = 19/3
The equation of the line that satisfies the given conditions is:
y = (2/3)x + 19/3