Answer:
Step-by-step explanation:
Point slope form: y−7=34(x−3)
Slope intercept form: y=34x+194..or..y=34x+434
Explanation:
Since you have one point and the slope, you can use the point slope formula, then solve for y to get the slope intercept form, so that you can determine the y-intercept (b). Then you can graph the resulting equation.
Point slope formula
y−y1=m(x−x1), where x1,y1=(3,7), and m=34 is the slope.
Substitute the given values into the formula.
Answer:
x
12
Step-by-step explanation:
Answer:
y^2 OR y²
y² is the more accurate way to write it, however both should work
Answer:
(x, y) = (2, 9)
Step-by-step explanation:
For the triangles to be congruent, the hypotenuses must be the same length:
y = x + 7
and the marked leg must be the same length in each triangle:
y -3 = 4x -2
These are two equations in two unknowns (a "system" of equations) that can be solved in any of the usual ways. Since the first equation gives an expression for y, it is convenient to substitute that into the second equation:
(x +7) -3 = 4x -2
x +4 = 4x -2 . . . . . . collect terms
x +6 = 4x . . . . . . . . .add 2
6 = 3x . . . . . . . . . . . subtract x
2 = x . . . . . . . . . . . . divide by 3
y = 2 + 7 = 9 . . . . . .substitute for x in the first equation
The values you're looking for are x = 2, y = 9.
