Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

3x+2y=−93x + 2y = -9

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Grade 8right chevron icon
Describe the graph of a linear equationright chevron icon

Full solution

Q. 3x+2y=−93x + 2y = -9
  1. Identify Equation Type: Identify the type of the equation. 3x+2y=−93x + 2y = -9 is a linear equation.
  2. Rewrite in Slope-Intercept Form: Rewrite the equation in slope-intercept form y=mx+by = mx + b.\newlineSubtract 3x3x from both sides: 2y=−3x−92y = -3x - 9.
  3. Solve for y: Divide both sides by 22 to solve for y.\newliney=−32x−92y = \frac{-3}{2}x - \frac{9}{2}.
  4. Identify Slope and Y-Intercept: Identify the slope and y-intercept from the equation y=(−32)x−92y = \left(-\frac{3}{2}\right)x - \frac{9}{2}. Slope (m)(m) is −32-\frac{3}{2}, and y-intercept (b)(b) is −92-\frac{9}{2}.
  5. Plot Y-Intercept: Plot the y-intercept on the graph.\newlineThe y-intercept is the point (0,−92)(0, -\frac{9}{2}).
  6. Find Another Point: Use the slope to find another point.\newlineFrom the yy-intercept, go down 33 units and right 22 units to plot the second point.
  7. Draw Line: Draw a line through the two points.\newlineThis line represents all solutions to the equation 3x+2y=−93x + 2y = -9.

More problems from Describe the graph of a linear equation

Question
Does the point (0,4)(0, 4) satisfy the equation y=xy = x??\newlineChoices: [[yes]][[no]]
Get tutor helpright-arrow

Posted 3 months ago

Question
Find the slope of the line y=−4x+25 y = -4x + \frac{2}{5} .\newlineWrite your answer as an integer or as a simplified proper or improper fraction.
Get tutor helpright-arrow

Posted 2 months ago

Question
Rewrite the following equation in slope-intercept form.\newliney+8=−8(x−10)y + 8 = -8(x - 10)\newlineWrite your answer using integers, proper fractions, and improper fractions in simplest form.\newline_____
Get tutor helpright-arrow

Posted 2 months ago

Question
Find the y y -intercept of the line 14x−16y=−10 14x - 16y = -10 .\newlineWrite your answer as an integer or as a simplified proper or improper fraction, not as an ordered pair.\newline____
Get tutor helpright-arrow

Posted 2 months ago

Question
Line q q has a slope of −23 \frac{-2}{3} . Line r r is perpendicular to q q . What is the slope of line r r ?\newlineSimplify your answer and write it as a proper fraction, improper fraction, or integer.\newline_____\_\_\_\_\_
Get tutor helpright-arrow

Posted 2 months ago

Question
Find the slope of the line y+3=−118(x+6)y + 3 = -\frac{1}{18}(x + 6).\newlineWrite your answer as an integer or as a simplified proper or improper fraction.
Get tutor helpright-arrow

Posted 2 months ago

Question
Line p p has an equation of y=−8x+6 y = -8x + 6 . Line q q , which is perpendicular to line p p , includes the point (2,−2) (2, -2) . What is the equation of line q q ??\newlineWrite the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.\newline____
Get tutor helpright-arrow

Posted 2 months ago

Question
Is the graph of this equation a horizontal or vertical line?\newlinex=7x = 7\newlineChoices:\newline(A)horizontal line\text{(A)horizontal line}\newline(B)vertical line\text{(B)vertical line}
Get tutor helpright-arrow

Posted 3 months ago

Question
Rewrite the following equation in standard form.\newliney=−10x+7 y = -10x + 7 \newlineHint: The standard form of a linear equation is\newlineAx+By=C Ax + By = C where A A and B B are not both zero, and A A , B B , and C C are integers whose GCF is 11. ______
Get tutor helpright-arrow

Posted 3 months ago

Question
A line with a slope of 99 passes through the point (9,9)(9,9). What is its equation in point-slope form?\newlineUse the specified point in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions.\newliney−‾=‾(x−‾)y - \underline{\hspace{1cm}} = \underline{\hspace{1cm}} (x - \underline{\hspace{1cm}})
Get tutor helpright-arrow

Posted 2 months ago

View all (77)