Answer:
y = 3x-20
Step-by-step explanation:
The first step in finding the equation of the line in slope-intercept form is to find the slope. We can use the formula for slope:
m = ( y2-y1)/(x2-x1)
m = ( 10-1)/(10-7)
m = 9/3 = 3
The slope intercept form is y = mx+b where m is the slope and b is the y intercept. We know the slope and a point on the line. Substituting into the equation, we can solve for b.
10 = 3(10)+b
10 = 30+b
-20 =b
y = 3x-20
To find the equation of the line passing through the points (7, 1) and (10, 10) in slope-intercept form, use the slope formula and point-slope form.
To find the equation of the line passing through the points (7, 1) and (10, 10) in slope-intercept form, we first need to find the slope of the line. We can use the formula m = (y2 - y1) / (x2 - x1) where (x1, y1) and (x2, y2) are the coordinates of the two points. Substituting the values, we get m = (10 - 1) / (10 - 7) = 9 / 3 = 3.
Next, we can use the point-slope form of a line, which is given by y - y1 = m(x - x1). Substituting the values (7, 1) and m = 3, we get y - 1 = 3(x - 7).
Simplifying the equation, we have y - 1 = 3x - 21. Rearranging it in slope-intercept form, we get y = 3x - 20.
