Write an equation (a) in standard form and (b) in slope-interc...

Question

Write an equation (a) in standard form and (b) in slope-intercept form for each line described. through (-2, -2), parallel to y=3

Accepted Answer

Consider a line defined by Y equals negative 10. Write equations both in standard and slope intercept form of a line that is parallel to the given line and passes through the 0.84. And we have four possible answers here with four equations of lines in a standard form or sub intercept form with X equals or Y equals. Now, to solve this problem, let's first define standard and slope intercept form slop intercept form is given by the equation A X plus by is equals to C where the slope intercept form is given by Y is equals to MX plus B or M is our slope B is our Y intercept. Now, our equation is Y equals negative 10. Now we notice this would fit both our standard form and our slope intercept form for Standard form RC would equal negative 10 and our B would equal one with our A equaling zero. Not for slope intercept form. We have SMX plus B which means we have Y, it is equals to negative 10 or B is negative 10. We can then graph this and notice this line is just a flat line at Y equals negative 10. Other words, we will draw a line, move the down by 10 units. Now it tells us we're passing through the 0.84 which is somewhere in quadrant one. This line should be parallel to Y equals negative 10, which means we should also have some equation of Y equals some number. Since we are passing through the 0.4 on the Y, our new line should be Y is equals to four based on our standard form in slope intercept form, both forms will be Y equals four, which means the answer to our problem is answer C OK. I hope to help you solve the problem. Thank you for watching. Goodbye.

Write an equation (a) in standard form and (b) in slope-intercept form for each line described. through (-2, -2), parallel to y=3

Key Concepts

Equation of a Horizontal Line

Parallel Lines

Forms of Linear Equations

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