Line g is shown on the graph.

coordinate plane with line g that passes through the points negative 3 comma 2 and 0 comma 5

What is the equation of the line in slope-intercept form that is perpendicular to line g and passes through the point (4, 2)? Show all necessary steps.

Question

22-08-2022
Mathematics

contestada

Line g is shown on the graph.

coordinate plane with line g that passes through the points negative 3 comma 2 and 0 comma 5

What is the equation of the line in slope-intercept form that is perpendicular to line g and passes through the point (4, 2)? Show all necessary steps.

Respuesta :

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akposevictor akposevictor · Answer 1 · 2022-08-23T16:02:34+02:00

The equation of the line g that passes through points (-3, 2) and (0, 5), in slope-intercept form, is: y = x + 5.

How to Write the Equation of a Line in Slope-intercept Form?

Given the coordinates of two points that lie on a straight line on a graph, the equation that represents the line in slope-intercept form can be expressed as, y = mx + b, where:

Slope = m = change in y / change in x

y-intercept = b (the value of y when x = 0).

The coordinates of the two points on line g is given as:

(-3, 2) = (x1, y1)

(0, 5) = (x2, y2).

Find the slope (m) of the line:

Slope (m) = (5 - 2)/(0 - (-3))

Slope (m) = 3/3

Slope (m) = 1.

Y-intercept (b) = 5

Substitute m = 1 and = 5 into y = mx + b:

y = x + 5

The equation of the line in slope-intercept form is: y = x + 5.

Learn more about the slope-intercept equation on:

https://brainly.com/question/1884491

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Line g is shown on the graph. coordinate plane with line g that passes through the points negative 3 comma 2 and 0 comma 5 What is the equation of the line in slope-intercept form that is perpendicular to line g and passes through the point (4, 2)? Show all necessary steps.

Respuesta :

How to Write the Equation of a Line in Slope-intercept Form?

Otras preguntas

Line g is shown on the graph.

coordinate plane with line g that passes through the points negative 3 comma 2 and 0 comma 5

What is the equation of the line in slope-intercept form that is perpendicular to line g and passes through the point (4, 2)? Show all necessary steps.