AboutJohn Zalewski Expertise I can help you solve problems involving fractions, decimals, ratios, and algebra. I can teach you how to do math faster, and even in your head. I can teach math definitions, and help you study, if necessary. Please do not ask any graphing, trigonometry, or calculus questions. Try to work through homework questions before asking for assistance.
Experience I routinely process numbers of all kinds in my head, without need of a calculator.
Education/Credentials I was an A math student while in high school.
Question find the equation of a line that is parallel to the line x+y=4 and passes through 2,5. The answer is x+y=7. I do not know how this answer was reached.
Answer Hello, Andrea.
Step 1 is to find the slope of the given line. Written in slope-intercept form, x+y=4 becomes y = 4-x.
y = 4 - m (x)
Therefore, the slope (m) = -1.
We must then realize that two lines are parallel only if they have the same slope.
Therefore, the slope of the line we're looking for must also be -1.
Next, use the point-slope form to find the equation of the line that goes through the point (2,5), and has a slope of -1.
