Finding Equations Using Slope-Intercept Introduction,Examples with Step-by-Step Explanations

The problems about Finding Equations Using Slope-Intercept

Topic	Problem	Solution
None	14 The point $(3, 10)$ lies on the line $y = 3 x + 1$ …	Choose two different x values, let's say x1 = 1 and x2 = 2
None	Graph the line with the equation \[ y=-\frac{2}{3…	The given equation is in the form of y = mx + b, where m is the slope and b is the y-intercept. Her…
None	Write an equation in slope-intercept form of the …	m=\frac{y_2-y_1}{x_2-x_1}
None	Find an equation of the line $L$ that passes thro…	First, we can find the slope of the line through these two points. The slope will be equal to: \(\f…
None	Complete the equation of the line through $(-8,8)…	Given two points (-8,8) and (1,-10), we need to find the equation of the line passing through these…
None	Write an equation (a) in slope-intercept form and…	Convert the given line $3 x + 5 y = 1$ to slope-intercept form: $y = - \frac{3}{5} x + \frac{1}{5}$
None	Does the point $(27, - 58)$ satisfy the equatio…	Check if the point $(27, - 58)$ satisfies the equation $y = - 58$
None	Use the given conditions to write an equation for…	Given a line passing through the point (-4,8) and parallel to the line whose equation is 3x-5y-6=0.
None	Use the given conditions to write an equation for…	Find the slope of the given line. The slope of a line in the form $y = m x + b$ is $m$ . So, the …
None	Use the given conditions to write an equation for…	The slope of the line given in the question is $\frac{1}{4}$ .
None	Graph the line that contains the point $(- 4, - 6)$ …	We are given a point (-4,-6) and a slope of $\frac{2}{3}$ .
None	Consider the line $- 2 x - 9 y = 5$ Find the equation …	The given line equation is $- 2 x - 9 y = 5$ .
None	Graph the line that passes through the points $(-…	Graph the line that passes through the points (-8,-2) and (-8,1) and determine the equation of the …
None	Use the given conditions to write an equation for…	The slope of the given line is $\frac{1}{3}$ . The slope of a line perpendicular to this line woul…
None	Graph the line with slope -3 passing through the …	First, remember that the slope of a line in the form of $y = m x + b$ is equal to $m$ . So, the line …
None	Graph the line with slope $- \frac{1}{3}$ passing …	We are given the slope of the line as $- \frac{1}{3}$ and the line passes through the point \((2,-…
None	Write the equation of the line that passes throug…	First, we need to find the slope of the line. The slope of a line passing through two points \((x1,…