Answer:
y = 5/4x -7
Step-by-step explanation:
y = mx + b
parallel line has same slope: 5/4
y = 5/4x + b
(4 , -2) -2 = 5/4 x 4 + b
b = -7
Formula: y = 5/4x -7
Angles R and O are congruent. In similar triangles, corresponding angles are congruent. O and R are both the last angle in their triangles making them corresponding.
Answer:
Step-by-step explanation:
<u>Equation of a line</u>
A line can be represented by an equation of the form
Where x is the independent variable, m is the slope of the line, b is the y-intercept and y is the dependent variable.
We need to find the equation of the line passing through the point (7,2) and is perpendicular to the line y=5x-2.
Two lines with slopes m1 and m2 are perpendicular if:
The given line has a slope m1=5, thus the slope of our required line is:
The equation of the line now can be expressed as:
We need to find the value of b, which can be done by using the point (7,2):
Operating:
Multiplying by 5:
Operating:
Solving for b:
The equation of the line is:
Both points are on the graph.
C, D, E, and G are FOUR points.